[{"status":"public","intvolume":"       105","type":"journal_article","day":"05","page":"343-411","file_date_updated":"2022-02-21T11:22:58Z","issue":"1","publication":"Journal of the London Mathematical Society","language":[{"iso":"eng"}],"publisher":"London Mathematical Society","scopus_import":"1","date_published":"2022-02-05T00:00:00Z","article_type":"original","month":"02","file":[{"relation":"main_file","content_type":"application/pdf","creator":"dernst","file_id":"10783","success":1,"access_level":"open_access","date_updated":"2022-02-21T11:22:58Z","file_size":936873,"file_name":"2022_JournLondonMathSociety_Arguez.pdf","checksum":"8bd0fd9694be894a191857ddf27678f0","date_created":"2022-02-21T11:22:58Z"}],"date_created":"2022-02-20T23:01:33Z","department":[{"_id":"TaHa"}],"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","has_accepted_license":"1","author":[{"id":"3c26b22e-c843-11eb-aa56-d38ffa0bdd08","first_name":"Nuroemuer Huelya","full_name":"Arguez, Nuroemuer Huelya","last_name":"Arguez"}],"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."}],"publication_status":"published","citation":{"chicago":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2022. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>.","ieee":"N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1. London Mathematical Society, pp. 343–411, 2022.","apa":"Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>","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.","short":"N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411.","mla":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1, London Mathematical Society, 2022, pp. 343–411, doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>.","ama":"Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. 2022;105(1):343-411. doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","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. ","quality_controlled":"1","oa_version":"Published Version","_id":"10772","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"volume":105,"date_updated":"2023-08-02T14:29:50Z","oa":1,"article_processing_charge":"Yes (via OA deal)","arxiv":1,"external_id":{"arxiv":["1712.10260"],"isi":["000751600600001"]},"title":"Mirror symmetry for the Tate curve via tropical and log corals","doi":"10.1112/jlms.12515","year":"2022","ddc":["510"],"isi":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)"}},{"article_type":"original","date_published":"2022-09-18T00:00:00Z","month":"09","language":[{"iso":"eng"}],"scopus_import":"1","publisher":"Wiley","department":[{"_id":"LaEr"}],"date_created":"2023-01-16T09:46:13Z","type":"journal_article","day":"18","status":"public","intvolume":"       106","page":"3865-3894","publication":"Journal of the London Mathematical Society","issue":"4","ec_funded":1,"year":"2022","doi":"10.1112/jlms.12676","title":"The isometry group of Wasserstein spaces: The Hilbertian case","external_id":{"arxiv":["2102.02037"],"isi":["000854878500001"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2102.02037"}],"isi":1,"citation":{"short":"G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.","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.” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4, Wiley, 2022, pp. 3865–94, doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>.","ama":"Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. 2022;106(4):3865-3894. doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>","chicago":"Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group of Wasserstein Spaces: The Hilbertian Case.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>.","apa":"Gehér, G. P., Titkos, T., &#38; Virosztek, D. (2022). The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>","ieee":"G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein spaces: The Hilbertian case,” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4. Wiley, pp. 3865–3894, 2022."},"publication_status":"published","author":[{"full_name":"Gehér, György Pál","last_name":"Gehér","first_name":"György Pál"},{"last_name":"Titkos","full_name":"Titkos, Tamás","first_name":"Tamás"},{"id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1109-5511","full_name":"Virosztek, Daniel","last_name":"Virosztek","first_name":"Daniel"}],"keyword":["General Mathematics"],"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. "}],"article_processing_charge":"No","oa":1,"volume":106,"date_updated":"2023-08-04T09:24:17Z","arxiv":1,"oa_version":"Preprint","quality_controlled":"1","project":[{"grant_number":"846294","call_identifier":"H2020","_id":"26A455A6-B435-11E9-9278-68D0E5697425","name":"Geometric study of Wasserstein spaces and free probability"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","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). ","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"_id":"12214"},{"acknowledgement":"We warmly thank S. Gukov for valuable discussions on the GPPV invariant ̂Z𝑎(𝑀3; 𝑞). 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.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411"}],"quality_controlled":"1","oa_version":"Published Version","_id":"9977","publication_identifier":{"eissn":["1469-7750"]},"date_updated":"2023-08-02T06:53:51Z","oa":1,"volume":105,"article_processing_charge":"Yes (via OA deal)","arxiv":1,"author":[{"id":"41B03CD0-62AE-11E9-84EF-0718E6697425","last_name":"Mistegaard","full_name":"Mistegaard, William","first_name":"William"},{"full_name":"Andersen, Jørgen Ellegaard","last_name":"Andersen","first_name":"Jørgen Ellegaard"}],"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."}],"publication_status":"published","citation":{"ieee":"W. Mistegaard and J. E. Andersen, “Resurgence analysis of quantum invariants of Seifert fibered homology spheres,” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 2. Wiley, pp. 709–764, 2022.","apa":"Mistegaard, W., &#38; Andersen, J. E. (2022). Resurgence analysis of quantum invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12506\">https://doi.org/10.1112/jlms.12506</a>","chicago":"Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12506\">https://doi.org/10.1112/jlms.12506</a>.","ama":"Mistegaard W, Andersen JE. Resurgence analysis of quantum invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical Society</i>. 2022;105(2):709-764. doi:<a href=\"https://doi.org/10.1112/jlms.12506\">10.1112/jlms.12506</a>","mla":"Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 2, Wiley, 2022, pp. 709–64, doi:<a href=\"https://doi.org/10.1112/jlms.12506\">10.1112/jlms.12506</a>.","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.","short":"W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society 105 (2022) 709–764."},"ddc":["510"],"isi":1,"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)"},"external_id":{"isi":["000755205700001"],"arxiv":["1811.05376"]},"title":"Resurgence analysis of quantum invariants of Seifert fibered homology spheres","ec_funded":1,"doi":"10.1112/jlms.12506","year":"2022","page":"709-764","file_date_updated":"2022-03-24T11:42:25Z","issue":"2","publication":"Journal of the London Mathematical Society","status":"public","intvolume":"       105","type":"journal_article","day":"01","date_created":"2021-08-31T12:51:40Z","file":[{"success":1,"content_type":"application/pdf","relation":"main_file","creator":"dernst","file_id":"10917","file_name":"2022_JourLondonMathSoc_Andersen.pdf","file_size":649130,"date_created":"2022-03-24T11:42:25Z","checksum":"9c72327d39f34f1a6eaa98fa4b8493f2","date_updated":"2022-03-24T11:42:25Z","access_level":"open_access"}],"department":[{"_id":"TaHa"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"publisher":"Wiley","scopus_import":"1","article_type":"original","date_published":"2022-03-01T00:00:00Z","month":"03"},{"doi":"10.1112/jlms.12192","year":"2019","external_id":{"arxiv":["1807.05202"]},"title":"Anticoncentration for subgraph statistics","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1807.05202"}],"publication_status":"published","citation":{"mla":"Kwan, Matthew Alan, et al. “Anticoncentration for Subgraph Statistics.” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3, Wiley, 2019, pp. 757–77, doi:<a href=\"https://doi.org/10.1112/jlms.12192\">10.1112/jlms.12192</a>.","ama":"Kwan MA, Sudakov B, Tran T. Anticoncentration for subgraph statistics. <i>Journal of the London Mathematical Society</i>. 2019;99(3):757-777. doi:<a href=\"https://doi.org/10.1112/jlms.12192\">10.1112/jlms.12192</a>","ista":"Kwan MA, Sudakov B, Tran T. 2019. Anticoncentration for subgraph statistics. Journal of the London Mathematical Society. 99(3), 757–777.","short":"M.A. Kwan, B. Sudakov, T. Tran, Journal of the London Mathematical Society 99 (2019) 757–777.","ieee":"M. A. Kwan, B. Sudakov, and T. Tran, “Anticoncentration for subgraph statistics,” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3. Wiley, pp. 757–777, 2019.","apa":"Kwan, M. A., Sudakov, B., &#38; Tran, T. (2019). Anticoncentration for subgraph statistics. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12192\">https://doi.org/10.1112/jlms.12192</a>","chicago":"Kwan, Matthew Alan, Benny Sudakov, and Tuan Tran. “Anticoncentration for Subgraph Statistics.” <i>Journal of the London Mathematical Society</i>. Wiley, 2019. <a href=\"https://doi.org/10.1112/jlms.12192\">https://doi.org/10.1112/jlms.12192</a>."},"abstract":[{"text":"Consider integers  𝑘,ℓ  such that  0⩽ℓ⩽(𝑘2) . Given a large graph  𝐺 , what is the fraction of  𝑘 -vertex subsets of  𝐺  which span exactly  ℓ  edges? When  𝐺  is empty or complete, and  ℓ  is zero or  (𝑘2) , 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,(𝑘2)−ℓ} . Our main result is that for any  𝑘  and  ℓ , the fraction of  𝑘 -vertex subsets that span  ℓ  edges is at most  log𝑂(1)(ℓ∗/𝑘)√ 𝑘/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.","lang":"eng"}],"author":[{"first_name":"Matthew Alan","orcid":"0000-0002-4003-7567","last_name":"Kwan","full_name":"Kwan, Matthew Alan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3"},{"full_name":"Sudakov, Benny","last_name":"Sudakov","first_name":"Benny"},{"full_name":"Tran, Tuan","last_name":"Tran","first_name":"Tuan"}],"arxiv":1,"date_updated":"2023-02-23T14:01:53Z","oa":1,"volume":99,"article_processing_charge":"No","_id":"9586","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"extern":"1","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","quality_controlled":"1","oa_version":"Preprint","month":"05","date_published":"2019-05-03T00:00:00Z","article_type":"original","publisher":"Wiley","scopus_import":"1","language":[{"iso":"eng"}],"date_created":"2021-06-22T09:46:03Z","day":"03","type":"journal_article","intvolume":"        99","status":"public","issue":"3","publication":"Journal of the London Mathematical Society","page":"757-777"}]