• Corpus ID: 229923630

# Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type

@inproceedings{Bychkov2020TopologicalRF,
title={Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type},
author={Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Viktorovich Shadrin},
year={2020}
}
• Published 29 December 2020
• Mathematics
We study the n-point differentials corresponding to Kadomtsev–Petviashvili tau functions of hypergeometric type (also known as Orlov–Scherbin partition functions), with an emphasis on their ~-deformations and expansions. Under the naturally required analytic assumptions, we prove certain higher loop equations that, in particular, contain the standard linear and quadratic loop equations, and thus imply the blobbed topological recursion. We also distinguish two large families of the Orlov…
13 Citations

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