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arXiv · 2107.05510

KP hierarchy for Hurwitz-type cohomological field theories

Reinier Kramer
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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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Reinier Kramer. 2022-01-15. KP hierarchy for Hurwitz-type cohomological field theories. https://arxiv.org/abs/2107.05510

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