---
_id: '10772'
abstract:
- lang: eng
text: We introduce tropical corals, balanced trees in a half-space, and show that
they correspond to holomorphic polygons capturing the product rule in Lagrangian
Floer theory for the elliptic curve. We then prove a correspondence theorem equating
counts of tropical corals to punctured log Gromov–Witten invariants of the Tate
curve. This implies that the homogeneous coordinate ring of the mirror to the
Tate curve is isomorphic to the degree-zero part of symplectic cohomology, confirming
a prediction of homological mirror symmetry.
acknowledgement: 'This paper is based on my PhD thesis, which would not be possible
without the support of my advisor Bernd Siebert. I also thank Dan Abramovich, Mohammed
Abouzaid, Mark Gross, Tom Coates and Dimitri Zvonkine for many useful conversations.
Finally, I thank the anonymous referees for their many insightful comments and valuable
suggestions which have resulted in major improvements to this article. This project
has received funding from the EuropeanResearch Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme (Grant Agreement Number:
682603), and from Fondation Mathématique Jacques Hadamard. '
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Nuroemuer Huelya
full_name: Arguez, Nuroemuer Huelya
id: 3c26b22e-c843-11eb-aa56-d38ffa0bdd08
last_name: Arguez
citation:
ama: Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals.
Journal of the London Mathematical Society. 2022;105(1):343-411. doi:10.1112/jlms.12515
apa: Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log
corals. Journal of the London Mathematical Society. London Mathematical
Society. https://doi.org/10.1112/jlms.12515
chicago: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical
and Log Corals.” Journal of the London Mathematical Society. London Mathematical
Society, 2022. https://doi.org/10.1112/jlms.12515.
ieee: N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,”
Journal of the London Mathematical Society, vol. 105, no. 1. London Mathematical
Society, pp. 343–411, 2022.
ista: Arguez NH. 2022. Mirror symmetry for the Tate curve via tropical and log corals.
Journal of the London Mathematical Society. 105(1), 343–411.
mla: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical
and Log Corals.” Journal of the London Mathematical Society, vol. 105,
no. 1, London Mathematical Society, 2022, pp. 343–411, doi:10.1112/jlms.12515.
short: N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411.
date_created: 2022-02-20T23:01:33Z
date_published: 2022-02-05T00:00:00Z
date_updated: 2023-08-02T14:29:50Z
day: '05'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1112/jlms.12515
external_id:
arxiv:
- '1712.10260'
isi:
- '000751600600001'
file:
- access_level: open_access
checksum: 8bd0fd9694be894a191857ddf27678f0
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T11:22:58Z
date_updated: 2022-02-21T11:22:58Z
file_id: '10783'
file_name: 2022_JournLondonMathSociety_Arguez.pdf
file_size: 936873
relation: main_file
success: 1
file_date_updated: 2022-02-21T11:22:58Z
has_accepted_license: '1'
intvolume: ' 105'
isi: 1
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '02'
oa: 1
oa_version: Published Version
page: 343-411
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: London Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mirror symmetry for the Tate curve via tropical and log corals
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '12214'
abstract:
- lang: eng
text: 'Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein
space W2(Rn), we describe the isometry group Isom(Wp(E)) for all parameters 0
< p < ∞ and for all separable real Hilbert spaces E. In particular, we show that
Wp(X) is isometrically rigid for all Polish space X whenever 0 < p < 1. This is
a consequence of our more general result: we prove that W1(X) is isometrically
rigid if X is a complete separable metric space that satisfies the strict triangle
inequality. Furthermore, we show that this latter rigidity result does not generalise
to parameters p > 1, by solving Kloeckner’s problem affirmatively on the existence
of mass-splitting isometries. '
acknowledgement: "Geher was supported by the Leverhulme Trust Early Career Fellowship
(ECF-2018-125), and also by the Hungarian National Research, Development and Innovation
Office - NKFIH (grant no. K115383 and K134944).\r\nTitkos was supported by the Hungarian
National Research, Development and Innovation Office - NKFIH (grant no. PD128374,
grant no. K115383 and K134944), by the J´anos Bolyai Research Scholarship of the
Hungarian Academy of Sciences, and by the UNKP-20-5-BGE-1 New National Excellence
Program of the ´Ministry of Innovation and Technology.\r\nVirosztek was supported
by the European Union’s Horizon 2020 research and innovation program under the Marie
Sklodowska-Curie Grant Agreement No. 846294, by the Momentum program of the Hungarian
Academy of Sciences under grant agreement no. LP2021-15/2021, and partially supported
by the Hungarian National Research, Development and Innovation Office - NKFIH (grants
no. K124152 and no. KH129601). "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: György Pál
full_name: Gehér, György Pál
last_name: Gehér
- first_name: Tamás
full_name: Titkos, Tamás
last_name: Titkos
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: 'Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces:
The Hilbertian case. Journal of the London Mathematical Society. 2022;106(4):3865-3894.
doi:10.1112/jlms.12676'
apa: 'Gehér, G. P., Titkos, T., & Virosztek, D. (2022). The isometry group of
Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical
Society. Wiley. https://doi.org/10.1112/jlms.12676'
chicago: 'Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group
of Wasserstein Spaces: The Hilbertian Case.” Journal of the London Mathematical
Society. Wiley, 2022. https://doi.org/10.1112/jlms.12676.'
ieee: 'G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein
spaces: The Hilbertian case,” Journal of the London Mathematical Society,
vol. 106, no. 4. Wiley, pp. 3865–3894, 2022.'
ista: 'Gehér GP, Titkos T, Virosztek D. 2022. The isometry group of Wasserstein
spaces: The Hilbertian case. Journal of the London Mathematical Society. 106(4),
3865–3894.'
mla: 'Gehér, György Pál, et al. “The Isometry Group of Wasserstein Spaces: The Hilbertian
Case.” Journal of the London Mathematical Society, vol. 106, no. 4, Wiley,
2022, pp. 3865–94, doi:10.1112/jlms.12676.'
short: G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society
106 (2022) 3865–3894.
date_created: 2023-01-16T09:46:13Z
date_published: 2022-09-18T00:00:00Z
date_updated: 2023-08-04T09:24:17Z
day: '18'
department:
- _id: LaEr
doi: 10.1112/jlms.12676
ec_funded: 1
external_id:
arxiv:
- '2102.02037'
isi:
- '000854878500001'
intvolume: ' 106'
isi: 1
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2102.02037
month: '09'
oa: 1
oa_version: Preprint
page: 3865-3894
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '846294'
name: Geometric study of Wasserstein spaces and free probability
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The isometry group of Wasserstein spaces: The Hilbertian case'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '9977'
abstract:
- lang: eng
text: "For a Seifert fibered homology sphere X we show that the q-series invariant
Zˆ0(X; q) introduced by Gukov-Pei-Putrov-Vafa, is a resummation of the Ohtsuki
series Z0(X). We show that for every even k ∈ N there exists a full asymptotic
expansion of Zˆ0(X; q) for q tending to e 2πi/k, and in particular that the limit
Zˆ0(X; e 2πi/k) exists and is equal to the\r\nWRT quantum invariant τk(X). We
show that the poles of the Borel transform of Z0(X) coincide with the classical
complex Chern-Simons values, which we further show classifies the corresponding
components of the moduli space of flat SL(2, C)-connections."
acknowledgement: "We warmly thank S. Gukov for valuable discussions on the GPPV invariant
̂Z\U0001D44E(\U0001D4403; \U0001D45E). The first\r\nauthor was supported in part
by the center of excellence grant ‘Center for Quantum Geometry\r\nof Moduli Spaces’
from the Danish National Research Foundation (DNRF95) and by the ERCSynergy\r\ngrant
‘ReNewQuantum’. The second author received funding from the European Union’s Horizon
2020 research and innovation program under the Marie Skłodowska-Curie grant agreement
no. 754411."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: William
full_name: Mistegaard, William
id: 41B03CD0-62AE-11E9-84EF-0718E6697425
last_name: Mistegaard
- first_name: Jørgen Ellegaard
full_name: Andersen, Jørgen Ellegaard
last_name: Andersen
citation:
ama: Mistegaard W, Andersen JE. Resurgence analysis of quantum invariants of Seifert
fibered homology spheres. Journal of the London Mathematical Society. 2022;105(2):709-764.
doi:10.1112/jlms.12506
apa: Mistegaard, W., & Andersen, J. E. (2022). Resurgence analysis of quantum
invariants of Seifert fibered homology spheres. Journal of the London Mathematical
Society. Wiley. https://doi.org/10.1112/jlms.12506
chicago: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis
of Quantum Invariants of Seifert Fibered Homology Spheres.” Journal of the
London Mathematical Society. Wiley, 2022. https://doi.org/10.1112/jlms.12506.
ieee: W. Mistegaard and J. E. Andersen, “Resurgence analysis of quantum invariants
of Seifert fibered homology spheres,” Journal of the London Mathematical Society,
vol. 105, no. 2. Wiley, pp. 709–764, 2022.
ista: Mistegaard W, Andersen JE. 2022. Resurgence analysis of quantum invariants
of Seifert fibered homology spheres. Journal of the London Mathematical Society.
105(2), 709–764.
mla: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of
Quantum Invariants of Seifert Fibered Homology Spheres.” Journal of the London
Mathematical Society, vol. 105, no. 2, Wiley, 2022, pp. 709–64, doi:10.1112/jlms.12506.
short: W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society
105 (2022) 709–764.
date_created: 2021-08-31T12:51:40Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2023-08-02T06:53:51Z
day: '01'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1112/jlms.12506
ec_funded: 1
external_id:
arxiv:
- '1811.05376'
isi:
- '000755205700001'
file:
- access_level: open_access
checksum: 9c72327d39f34f1a6eaa98fa4b8493f2
content_type: application/pdf
creator: dernst
date_created: 2022-03-24T11:42:25Z
date_updated: 2022-03-24T11:42:25Z
file_id: '10917'
file_name: 2022_JourLondonMathSoc_Andersen.pdf
file_size: 649130
relation: main_file
success: 1
file_date_updated: 2022-03-24T11:42:25Z
has_accepted_license: '1'
intvolume: ' 105'
isi: 1
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: Published Version
page: 709-764
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Resurgence analysis of quantum invariants of Seifert fibered homology spheres
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '9586'
abstract:
- lang: eng
text: "Consider integers \U0001D458,ℓ such that 0⩽ℓ⩽(\U0001D4582) . Given a large
graph \U0001D43A , what is the fraction of \U0001D458 -vertex subsets of \U0001D43A
\ which span exactly ℓ edges? When \U0001D43A is empty or complete, and ℓ
\ is zero or (\U0001D4582) , this fraction can be exactly 1. On the other hand,
if ℓ is far from these extreme values, one might expect that this fraction is
substantially smaller than 1. This was recently proved by Alon, Hefetz, Krivelevich,
and Tyomkyn who initiated the systematic study of this question and proposed several
natural conjectures.\r\nLet ℓ∗=min{ℓ,(\U0001D4582)−ℓ} . Our main result is that
for any \U0001D458 and ℓ , the fraction of \U0001D458 -vertex subsets that
span ℓ edges is at most log\U0001D442(1)(ℓ∗/\U0001D458)√ \U0001D458/ℓ∗, which
is best-possible up to the logarithmic factor. This improves on multiple results
of Alon, Hefetz, Krivelevich, and Tyomkyn, and resolves one of their conjectures.
In addition, we also make some first steps towards some analogous questions for
hypergraphs.\r\nOur proofs involve some Ramsey-type arguments, and a number of
different probabilistic tools, such as polynomial anticoncentration inequalities,
hypercontractivity, and a coupling trick for random variables defined on a ‘slice’
of the Boolean hypercube."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Benny
full_name: Sudakov, Benny
last_name: Sudakov
- first_name: Tuan
full_name: Tran, Tuan
last_name: Tran
citation:
ama: Kwan MA, Sudakov B, Tran T. Anticoncentration for subgraph statistics. Journal
of the London Mathematical Society. 2019;99(3):757-777. doi:10.1112/jlms.12192
apa: Kwan, M. A., Sudakov, B., & Tran, T. (2019). Anticoncentration for subgraph
statistics. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12192
chicago: Kwan, Matthew Alan, Benny Sudakov, and Tuan Tran. “Anticoncentration for
Subgraph Statistics.” Journal of the London Mathematical Society. Wiley,
2019. https://doi.org/10.1112/jlms.12192.
ieee: M. A. Kwan, B. Sudakov, and T. Tran, “Anticoncentration for subgraph statistics,”
Journal of the London Mathematical Society, vol. 99, no. 3. Wiley, pp.
757–777, 2019.
ista: Kwan MA, Sudakov B, Tran T. 2019. Anticoncentration for subgraph statistics.
Journal of the London Mathematical Society. 99(3), 757–777.
mla: Kwan, Matthew Alan, et al. “Anticoncentration for Subgraph Statistics.” Journal
of the London Mathematical Society, vol. 99, no. 3, Wiley, 2019, pp. 757–77,
doi:10.1112/jlms.12192.
short: M.A. Kwan, B. Sudakov, T. Tran, Journal of the London Mathematical Society
99 (2019) 757–777.
date_created: 2021-06-22T09:46:03Z
date_published: 2019-05-03T00:00:00Z
date_updated: 2023-02-23T14:01:53Z
day: '03'
doi: 10.1112/jlms.12192
extern: '1'
external_id:
arxiv:
- '1807.05202'
intvolume: ' 99'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1807.05202
month: '05'
oa: 1
oa_version: Preprint
page: 757-777
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anticoncentration for subgraph statistics
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 99
year: '2019'
...