KP hierarchy for Hurwitz-type cohomological field theories
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.
Keywords
Cite
@article{arxiv.2107.05510,
title = {KP hierarchy for Hurwitz-type cohomological field theories},
author = {Reinier Kramer},
journal= {arXiv preprint arXiv:2107.05510},
year = {2022}
}
Comments
21 pages. v2: added report number to metadata, file unchanged. v3: corrected errors, added example, updated references. v4: clarified relation between triple Hodge integrals and Bychkov-Dunin-Barkowski-Kazarian-Shadrin's work