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  KP hierarchy for Hurwitz-type cohomological field theories

Kramer, R. (2023). KP hierarchy for Hurwitz-type cohomological field theories. Communications in Number Theory and Physics, 17(2), 249-291. doi:10.4310/CNTP.2023.v17.n2.a1.

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2107.05510.pdf (Preprint), 399KB
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Kramer_KP hierarchy for Hurwitz-type cohomological field theories_2023.pdf (Publisher version), 429KB
 
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 Creators:
Kramer, Reinier1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Mathematical Physics, Mathematical Physics, Nonlinear Sciences, Exactly Solvable and Integrable Systems
 Abstract: We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single Hodge integrals to general cohomological field theories related to Hurwitz-type counting problems or hypergeometric tau-functions. The proof uses recent results on the relations between hypergeometric tau-functions and topological recursion, as well as the Eynard-DOSS correspondence between topological recursion and cohomological field theories. In particular, we recover the result of Alexandrov of KP integrability for triple Hodge integrals with a Calabi-Yau condition.

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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 2107.05510
DOI: 10.4310/CNTP.2023.v17.n2.a1
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Title: Communications in Number Theory and Physics
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 17 (2) Sequence Number: - Start / End Page: 249 - 291 Identifier: -