@article{4258, abstract = {We studied the effect of multilocus balancing selection on neutral nucleotide variability at linked sites by simulating a model where diallelic polymorphisms are maintained at an arbitrary number of selected loci by means of symmetric overdominance. Different combinations of alleles define different genetic backgrounds that subdivide the population and strongly affect variability. Several multilocus fitness regimes with different degrees of epistasis and gametic disequilibrium are allowed. Analytical results based on a multilocus extension of the structured coalescent predict that the expected linked neutral diversity increases exponentially with the number of selected loci and can become extremely large. Our simulation results show that although variability increases with the number of genetic backgrounds that are maintained in the population, it is reduced by random fluctuations in the frequencies of those backgrounds and does not reach high levels even in very large populations. We also show that previous results on balancing selection in single-locus systems do not extend to the multilocus scenario in a straightforward way. Different patterns of linkage disequilibrium and of the frequency spectrum of neutral mutations are expected under different degrees of epistasis. Interestingly, the power to detect balancing selection using deviations from a neutral distribution of allele frequencies seems to be diminished under the fitness regime that leads to the largest increase of variability over the neutral case. This and other results are discussed in the light of data from the Mhc.}, author = {Navarro, Arcadio and Barton, Nicholas H}, issn = {0016-6731}, journal = {Genetics}, number = {2}, pages = {849 -- 863}, publisher = {Genetics Society of America}, title = {{The effects of multilocus balancing selection on neutral variability}}, doi = {10.1093/genetics/161.2.849}, volume = {161}, year = {2002}, } @article{4259, abstract = {We extend current multilocus models to describe the effects of migration, recombination, selection, and nonrandom mating on sets of genes in diploids with varied modes of inheritance, allowing us to consider the patterns of nuclear and cytonuclear associations (disequilibria) under various models of migration. We show the relationship between the multilocus notation recently presented by Kirkpatrick, Johnson, and Barton (developed from previous work by Barton and Turelli) and the cytonuclear parameterization of Asmussen, Arnold, and Avise and extend this notation to describe associations between cytoplasmic elements and multiple nuclear genes. Under models with sexual symmetry, both nuclear-nuclear and cytonuclear disequilibria are equivalent. They differ, however, in cases involving some type of sexual asymmetry, which is then reflected in the asymmetric inheritance of cytoplasmic markers. An example given is the case of different migration rates in males and females; simulations using 2, 3, 4, or 5 unlinked autosomal markers with a maternally inherited cytoplasmic marker illustrate how nuclear-nuclear and cytonuclear associations can be used to separately estimate female and male migration rates. The general framework developed here allows us to investigate conditions where associations between loci with different modes of inheritance are not equivalent and to use this nonequivalence to test for deviations from simple models of admixture. }, author = {Orive, Maria and Barton, Nicholas H}, issn = {0016-6731}, journal = {Genetics}, number = {3}, pages = {1469 -- 1485}, publisher = {Genetics Society of America}, title = {{Associations between cytoplasmic and nuclear loci in hybridizing populations}}, doi = {10.1093/genetics/162.3.1469}, volume = {162}, year = {2002}, } @article{4260, abstract = {We calculate the fixation probability of a beneficial allele that arises as the result of a unique mutation in an asexual population that is subject to recurrent deleterious mutation at rate U. Our analysis is an extension of previous works, which make a biologically restrictive assumption that selection against deleterious alleles is stronger than that on the beneficial allele of interest. We show that when selection against deleterious alleles is weak, beneficial alleles that confer a selective advantage that is small relative to U have greatly reduced probabilities of fixation. We discuss the consequences of this effect for the distribution of effects of alleles fixed during adaptation. We show that a selective sweep will increase the fixation probabilities of other beneficial mutations arising during some short interval afterward. We use the calculated fixation probabilities to estimate the expected rate of fitness improvement in an asexual population when beneficial alleles arise continually at some low rate proportional to U. We estimate the rate of mutation that is optimal in the sense that it maximizes this rate of fitness improvement. Again, this analysis relaxes the assumption made previously that selection against deleterious alleles is stronger than on beneficial alleles. }, author = {Johnson, Toby and Barton, Nicholas H}, issn = {0016-6731}, journal = {Genetics}, number = {1}, pages = {395 -- 411}, publisher = {Genetics Society of America}, title = {{The effect of deleterious alleles on adaptation in asexual populations}}, doi = {10.1093/genetics/162.1.395}, volume = {162}, year = {2002}, } @article{4474, abstract = {The simulation preorder for labeled transition systems is defined locally, and operationally, as a game that relates states with their immediate successor states. Simulation enjoys many appealing properties. First, simulation has a denotational characterization: system S simulates system I iff every computation tree embedded in the unrolling of I can be embedded also in the unrolling of S. Second, simulation has a logical characterization: S simulates I iff every universal branching-time formula satisfied by S is satisfied also by I. It follows that simulation is a suitable notion of implementation, and it is the coarsest abstraction of a system that preserves universal branching-time properties. Third, based on its local definition, simulation between finite-state systems can be checked in polynomial time. Finally, simulation implies trace containment, which cannot be defined locally and requires polynomial space for verification. Hence simulation is widely used both in manual and in automatic verification. Liveness assumptions about transition systems are typically modeled using fairness constraints. Existing notions of simulation for fair transition systems, however, are not local, and as a result, many appealing properties of the simulation preorder are lost. We propose a new view of fair simulation by extending the local definition of simulation to account for fairness: system View the MathML sourcefairly simulates system View the MathML source iff in the simulation game, there is a strategy that matches with each fair computation of View the MathML source a fair computation of View the MathML source. Our definition enjoys a denotational characterization and has a logical characterization: View the MathML source fairly simulates View the MathML source iff every fair computation tree (whose infinite paths are fair) embedded in the unrolling of View the MathML source can be embedded also in the unrolling of View the MathML source or, equivalently, iff every Fair-∀AFMC formula satisfied by View the MathML source is satisfied also by View the MathML source (∀AFMC is the universal fragment of the alternation-free μ-calculus). The locality of the definition leads us to a polynomial-time algorithm for checking fair simulation for finite-state systems with weak and strong fairness constraints. Finally, fair simulation implies fair trace containment and is therefore useful as an efficiently computable local criterion for proving linear-time abstraction hierarchies of fair systems.}, author = {Henzinger, Thomas A and Kupferman, Orna and Rajamani, Sriram}, issn = {0890-5401}, journal = {Information and Computation}, number = {1}, pages = {64 -- 81}, publisher = {Elsevier}, title = {{Fair simulation}}, doi = {10.1006/inco.2001.3085}, volume = {173}, year = {2002}, } @inbook{2338, abstract = {Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous -- and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2πℏ2aρ/m where a is the scattering length of the two-body potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has recently been obtained by us and this work will be presented. The reason behind the mathematical difficulties will be emphasized. A different formula, postulated as late as 1971 by Schick, holds in two-dimensions and this, too, will be shown to be correct. With the aid of the methodology developed to prove the lower bound for the homogeneous gas, two other problems have been successfully addressed. One is the proof by us that the Gross-Pitaevskii equation correctly describes the ground state in the `traps' actually used in the experiments. For this system it is also possible to prove complete Bose condensation, as we have shown. Another topic is a proof that Foldy's 1961 theory of a high density Bose gas of charged particles correctly describes its ground state energy.}, author = {Lieb, Élliott and Solovej, Jan and Seiringer, Robert and Yngvason, Jakob}, booktitle = {Current Developments in Mathematics, 2001}, isbn = {9781571461018}, pages = {131 -- 178}, publisher = {International Press}, title = {{The ground state of the Bose gas}}, doi = {10.48550/arXiv.math-ph/0204027}, year = {2002}, } @article{2349, abstract = {The Bose-Einstein condensation (BEC) of the ground state of bosonic atoms in a trap was discussed. The BEC was proved for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrodinger equation. The BEC was 100% into the state which minimized the Gross-Pitaevskii energy functional. The analysis also included rigorous proof of BEC in a physically realistic, continuum model.}, author = {Lieb, Élliott H and Robert Seiringer}, journal = {Physical Review Letters}, number = {17}, pages = {1704091 -- 1704094}, publisher = {American Physical Society}, title = {{Proof of Bose-Einstein condensation for dilute trapped gases}}, doi = {10.1103/PhysRevLett.88.170409}, volume = {88}, year = {2002}, } @article{2350, abstract = {Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge Z and in presence of the quantized radiation field. We consider the case of small coupling constant α, but fixed Zα and ultraviolet cut-off Λ. We prove that after renormalizing the mass the binding energy has, to leading order in α, a finite limit as Λ goes to infinity; i.e., the cut-off can be removed. The expression for the ground state energy shift thus obtained agrees with Bethe's formula for small values of Zα, but shows a different behavior for bigger values.}, author = {Hainzl, Christian and Seiringer, Robert}, issn = {1095-0761}, journal = {Advances in Theoretical and Mathematical Physics}, number = {5}, pages = {847 -- 871}, publisher = {International Press}, title = {{Mass renormalization and energy level shift in non-relativistic QED}}, doi = {10.4310/ATMP.2002.v6.n5.a3}, volume = {6}, year = {2002}, } @article{2351, abstract = {We study the Gross-Pitaevskii functional for a rotating two-dimensional Bose gas in a trap. We prove that there is a breaking of the rotational symmetry in the ground state; more precisely, for any value of the angular velocity and for large enough values of the interaction strength, the ground state of the functional is not an eigenfunction of the angular momentum. This has interesting consequences on the Bose gas with spin; in particular, the ground state energy depends non-trivially on the number of spin components, and the different components do not have the same wave function. For the special case of a harmonic trap potential, we give explicit upper and lower bounds on the critical coupling constant for symmetry breaking.}, author = {Robert Seiringer}, journal = {Communications in Mathematical Physics}, number = {3}, pages = {491 -- 509}, publisher = {Springer}, title = {{Gross-Pitaevskii theory of the rotating Bose gas}}, doi = {10.1007/s00220-002-0695-2}, volume = {229}, year = {2002}, } @article{2352, abstract = {We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions V on ℝn going to zero at infinity. This generalized decomposition can be used to extend previous results on N-body quantum systems with Coulomb interaction to a more general class of interactions. As an example of such an application, we derive the high density asymptotics of the ground state energy of jellium with Yukawa interaction in the thermodynamic limit, using a correlation estimate by Graf and Solovej.}, author = {Hainzl, Christian and Robert Seiringer}, journal = {Letters in Mathematical Physics}, number = {1}, pages = {75 -- 84}, publisher = {Springer}, title = {{General decomposition of radial functions on ℝn and applications to N-body quantum systems}}, doi = {10.1023/A:1020204818938}, volume = {61}, year = {2002}, } @article{2353, abstract = {A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap, and we prove that a gas with repulsive interactions is 100% superfluid in the dilute limit in which the Gross-Pitaevskii equation is exact. This is the first example in an experimentally realistic continuum model in which superfluidity is rigorously verified.}, author = {Lieb, Élliott and Seiringer, Robert and Yngvason, Jakob}, issn = {0163-1829}, journal = {Physical Review B - Condensed Matter and Materials Physics}, number = {13}, publisher = {American Physical Society}, title = {{Superfluidity in dilute trapped Bose gases}}, doi = {10.1103/PhysRevB.66.134529}, volume = {66}, year = {2002}, } @article{2614, abstract = {Metabotropic glutamate receptors (mGluRs) from group III reduce glutamate release. Because these receptors reduce cAMP levels, we explored whether this signaling pathway contributes to release inhibition caused by mGluRs with low affinity for L-2-amino-4-phosphonobutyrate (L-AP4). In biochemical experiments with the population of cerebrocortical nerve terminals we find that L-AP4 (1 mM) inhibited the Ca2+dependent-evoked release of glutamate by 25%. This inhibitory effect was largely prevented by the pertussis toxin but was insensitive to inhibitors of protein kinase C bisindolylmaleimide and protein kinase A H-89. Furthermore, this inhibition was associated with reduction in N-type Ca2+ channel activity in the absence of any detectable change in cAMP levels. In the presence of forskolin, however, L-AP4 decreased the levels of cAMP. The activation of this additional signaling pathway was very efficient in counteracting the facilitation of glutamate release induced either by forskolin or the β-adrenergic receptor agonist isoproterenol. Imaging experiments to measure Ca2+ dynamics in single nerve terminals showed that L-AP4 strongly reduced the Ca2+ response in 28% of the nerve terminals. Moreover, immunochemical experiments showed that 25-35% of the nerve terminals that were immunopositive to synaptophysin were also immunoreactive to the low affinity L-AP4-sensitive mGluR7. Then, mGluR7 mediates the inhibition of glutamate release caused by 1 mM L-AP4, primarily by a strong inhibition of Ca2+ channels, although high cAMP uncovers the receptor ability to decrease cAMP.}, author = {Millán, Carmelo and Luján, Rafael and Shigemoto, Ryuichi and Sánchez Prieto, José}, issn = {0021-9258}, journal = {Journal of Biological Chemistry}, number = {16}, pages = {14092 -- 14101}, publisher = {American Society for Biochemistry and Molecular Biology}, title = {{The inhibition of glutamate release by metabotropic glutamate receptor 7 affects both [Ca2+]c and cAMP. Evidence for a strong reduction of Ca2+ entry in single nerve terminals}}, doi = {10.1074/jbc.M109044200}, volume = {277}, year = {2002}, } @article{2617, abstract = {Synapses exhibit different short-term plasticity patterns and this behaviour influences information processing in neuronal networks. We tested how the short-term plasticity of excitatory postsynaptic currents (EPSCs) depends on the postsynaptic cell type, identified by axonal arborizations and molecular markers in the hippocampal CA1 area. Three distinct types of short-term synaptic behaviour (facilitating, depressing and combined facilitating-depressing) were defined by fitting a dynamic neurotransmission model to the data. Approximately 75 % of the oriens-lacunosum-moleculare (O-LM) interneurones received facilitating EPSCs, but in three of 12 O-LM cells EPSCs also showed significant depression. Over 90 % of the O-LM cells were immunopositive for somatostatin and mGluR1α and all tested cells were decorated by strongly mGluR7a positive axon terminals. Responses in eight of 12 basket cells were described well with a model involving only depression, but the other cells displayed combined facilitating-depressing EPSCs. No apparent difference was found between the plasticity of EPSCs in cholecystokinin- or parvalbumin-containing basket cells. In oriens-bistratified cells (O-Bi), two of nine cells showed facilitating EPSCs, another two depressing, and the remaining five cells combined facilitating-depressing EPSCs. Seven of 10 cells tested for somatostatin were immunopositive, but mGluR1α was detectable only in two of 11 tested cells. Furthermore, most O-Bi cells projected to the CA3 area and the subiculum, as well as outside the hippocampal formation. Postsynaptic responses to action potentials recorded in vivo from a CA1 place cell were modelled, and revealed great differences between and within cell types. Our results demonstrate that the short-term plasticity of EPSCs is cell type dependent, but with significant heterogeneity within all three interneurone populations.}, author = {Losonczy, Attila and Zhang, Limei and Ryuichi Shigemoto and Somogyi, Péter and Nusser, Zoltán}, journal = {Journal of Physiology}, number = {1}, pages = {193 -- 210}, publisher = {Wiley-Blackwell}, title = {{Cell type dependence and variability in the short-term plasticity of EPSCs in identified mouse hippocampal interneurones}}, doi = {10.1113/jphysiol.2002.020024}, volume = {542}, year = {2002}, } @article{2866, abstract = {Developmental responses to the plant hormone auxin are thought to be mediated by interacting pairs from two protein families: short-lived inhibitory IAA proteins and ARF transcription factors binding to auxin-response elements. Monopteros mutants lacking activating ARF5 and the auxin-insensitive mutant bodenlos fail to initiate the root meristem during early embryogenesis. Here we show that the bodenlos phenotype results from an amino-acid exchange in the conserved degradation domain of IAA12. BODENLOS and MONOPTEROS interact in the yeast two-hybrid assay and the two genes are coexpressed in early embryogenesis, suggesting that BODENLOS inhibits MONOPTEROS action in root meristem initiation.}, author = {Hamann, Thorsten and Benková, Eva and Bäurle, Isabel and Kientz, Marika and Jürgens, Gerd}, issn = {0890-9369}, journal = {Genes and Development}, number = {13}, pages = {1610 -- 1615}, publisher = {Cold Spring Harbor Laboratory Press}, title = {{The Arabidopsis BODENLOS gene encodes an auxin response protein inhibiting MONOPTEROS-mediated embryo patterning}}, doi = {10.1101/gad.229402}, volume = {16}, year = {2002}, } @article{2987, abstract = {The hydra mutants of Arabidopsis are characterized by a pleiotropic phenotype that shows defective embryonic and seedling cell patterning, morphogenesis, and root growth. We demonstrate that the HYDRA1 gene encodes a Δ8-Δ7 sterol isomerase, whereas HYDRA2 encodes a sterol C14 reductase, previously identified as the FACKEL gene product. Seedlings mutant for each gene are similarly defective in the concentrations of the three major Arabidopsis sterols. Promoter::reporter gene analysis showed misexpression of the auxin-regulated DR5 and ACS1 promoters and of the epidermal cell file-specific GL2 promoter in the mutants. The mutants exhibit enhanced responses to auxin. The phenotypes can be rescued partially by inhibition of auxin and ethylene signaling but not by exogenous sterols or brassinosteroids. We propose a model in which correct sterol profiles are required for regulated auxin and ethylene signaling through effects on membrane function.}, author = {Souter, Martin and Topping, Jennifer and Pullen, Margaret and Friml, Jirí and Palme, Klaus and Hackett, Rachel and Grierson, Don and Lindsey, Keith}, issn = {1040-4651}, journal = {Plant Cell}, number = {5}, pages = {1017 -- 1031}, publisher = {American Society of Plant Biologists}, title = {{Hydra mutants of Arabidopsis are defective in sterol profiles and auxin and ethylene signaling}}, doi = {10.1105/tpc.001248}, volume = {14}, year = {2002}, } @article{11124, abstract = {Ran GTPase plays important roles in nucleocytoplasmic transport in interphase [1, 2] and in both spindle formation and nuclear envelope (NE) assembly during mitosis [3, 4, 5]. The latter functions rely on the presence of high local concentrations of GTP-bound Ran near mitotic chromatin [3, 4, 5]. RanGTP localization has been proposed to result from the association of Ran's GDP/GTP exchange factor, RCC1, with chromatin [6, 7, 8, 9], but Ran is shown here to bind directly to chromatin in two modes, either dependent or independent of RCC1, and, where bound, to increase the affinity of chromatin for NE membranes. We propose that the Ran binding capacity of chromatin contributes to localized spindle and NE assembly.}, author = {Bilbao-Cortés, Daniel and HETZER, Martin W and Längst, Gernot and Becker, Peter B. and Mattaj, Iain W.}, issn = {0960-9822}, journal = {Current Biology}, keywords = {General Agricultural and Biological Sciences, General Biochemistry, Genetics and Molecular Biology}, number = {13}, pages = {1151--1156}, publisher = {Elsevier BV}, title = {{Ran binds to chromatin by two distinct mechanisms}}, doi = {10.1016/s0960-9822(02)00927-2}, volume = {12}, year = {2002}, } @article{874, abstract = {Sex is thought to facilitate accumulation of initially rare beneficial mutations by allowing simultaneous allele replacements at many loci. However, this advantage of sex depends on a restrictive assumption that the fitness of a genotype is determined by fitness potential, a single intermediate variable to which all loci contribute additively, so that new alleles can accumulate in any order. Individual-based simulations of sexual and asexual populations reveal that under generic selection, sex often retards adaptive evolution. When new alleles are beneficial only if they accumulate in a prescribed order, a sexual population may evolve two or more times slower than an asexual population because only asexual reproduction allows some overlap of successive allele replacements. Many other fitness surfaces lead to an even greater disadvantage of sex. Thus, either sex exists in spite of its impact on the rate of adaptive allele replacements, or natural fitness surfaces have rather specific properties, at least at the scale of intrapopulation genetic variability.}, author = {Kondrashov, Fyodor and Kondrashov, Alexey}, issn = {0027-8424}, journal = {PNAS}, number = {21}, pages = {12089 -- 12092}, publisher = {National Academy of Sciences}, title = {{Multidimensional epistasis and the disadvantage of sex}}, doi = {10.1073/pnas.211214298}, volume = {98}, year = {2001}, } @article{888, abstract = {BACKGROUND: Detection of changes in a protein's evolutionary rate may reveal cases of change in that protein's function. We developed and implemented a simple relative rates test in an attempt to assess the rate constancy of protein evolution and to detect cases of functional diversification between orthologous proteins. The test was performed on clusters of orthologous protein sequences from complete bacterial genomes (Chlamydia trachomatis, C. muridarum and Chlamydophila pneumoniae), complete archaeal genomes (Pyrococcus horikoshii, P. abyssi and P. furiosus) and partially sequenced mammalian genomes (human, mouse and rat). RESULTS: Amino-acid sequence evolution rates are significantly correlated on different branches of phylogenetic trees representing the great majority of analyzed orthologous protein sets from all three domains of life. However, approximately 1% of the proteins from each group of species deviates from this pattern and instead shows variation that is consistent with an acceleration of the rate of amino-acid substitution, which may be due to functional diversification. Most of the putative functionally diversified proteins from all three species groups are predicted to function at the periphery of the cells and mediate their interaction with the environment. CONCLUSIONS: Relative rates of protein evolution are remarkably constant for the three species groups analyzed here. Deviations from this rate constancy are probably due to changes in selective constraints associated with diversification between orthologs. Functional diversification between orthologs is thought to be a relatively rare event. However, the resolution afforded by the test designed specifically for genomic-scale datasets allowed us to identify numerous cases of possible functional diversification between orthologous proteins.}, author = {Jordan, Ingo and Kondrashov, Fyodor and Rogozin, Igor and Tatusov, Roman and Wolf, Yuri and Koonin, Eugene}, issn = {1465-6906}, journal = {Genome Biology}, number = {12}, publisher = {BioMed Central}, title = {{Constant relative rate of protein evolution and detection of functional diversification among bacterial, archaeal and eukaryotic proteins }}, doi = {10.1186/gb-2001-2-12-research0053}, volume = {2}, year = {2001}, } @article{1452, abstract = {In this Note we present pairs of hyperkähler orbifolds which satisfy two different versions of mirror symmetry. On the one hand, we show that their Hodge numbers (or more precisely, stringy E-polynomials) are equal. On the other hand, we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a Calabi-Yau and its mirror should fiber over the same real manifold, with special Lagrangian fibers which are tori dual to each other. Our examples arise as moduli spaces of local systems on a curve with structure group SL(n); the mirror is the corresponding space with structure group PGL(n). The special Lagrangian tori come from an algebraically completely integrable Hamiltonian system: the Hitchin system.}, author = {Hausel, Tamas and Thaddeus, Michael}, issn = {0764-4442}, journal = {Comptes Rendus de l'Academie des Sciences - Series I: Mathematics}, number = {4}, pages = {313 -- 318}, publisher = {Elsevier}, title = {{Examples of mirror partners arising from integrable systems}}, doi = {10.1016/S0764-4442(01)02057-2}, volume = {333}, year = {2001}, } @article{1453, abstract = {In this Letter we exhibit a one-parameter family of new Taub-NUT instantons parameterized by a half-line. The endpoint of the half-line will be the reducible Yang-Mills instanton corresponding to the Eguchi-Hanson-Gibbons L2 harmonic 2-form, while at an inner point we recover the Pope-Yuille instanton constructed as a projection of the Levi-Civitá connection onto the positive su(2)+ ⊂ so(4) subalgebra. Our method imitates the Jackiw-Nohl-Rebbi construction originally designed for flat R4. That is we find a one-parameter family of harmonic functions on the Taub-NUT space with a point singularity, rescale the metric and project the obtained Levi-Civitá connection onto the other negative su(2)- ⊂ so(4) part. Our solutions will possess the full U(2) symmetry, and thus provide more solutions to the recently proposed U(2) symmetric ansatz of Kim and Yoon.}, author = {Etesi, Gábor and Hausel, Tamas}, issn = {0370-2693}, journal = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics}, number = {1-2}, pages = {189 -- 199}, publisher = {Elsevier}, title = {{Geometric construction of new Yang-Mills instantons over Taub-NUT space}}, doi = {10.1016/S0370-2693(01)00821-8}, volume = {514}, year = {2001}, } @article{1454, abstract = {We address the problem of finding Abelian instantons of finite energy on the Euclidean Schwarzschild manifold. This amounts to construct self-dual L2 harmonic 2-forms on the space. Gibbons found a non-topological L2 harmonic form in the Taub-NUT metric, leading to Abelian instantons with continuous energy. We imitate his construction in the case of the Euclidean Schwarzschild manifold and find a non-topological self-dual L2 harmonic 2-form on it. We show how this gives rise to Abelian instantons and identify them with SU(2)-instantons of Pontryagin number 2n2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we also calculate the full L2 harmonic space for the Euclidean Schwarzschild manifold.}, author = {Etesi, Gábor and Hausel, Tamas}, issn = {0393-0440}, journal = {Journal of Geometry and Physics}, number = {1-2}, pages = {126 -- 136}, publisher = {Elsevier}, title = {{Geometric interpretation of Schwarzschild instantons}}, doi = {10.1016/S0393-0440(00)00040-1}, volume = {37}, year = {2001}, }