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arXiv · 2303.14154

Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions

Hiroyuki Fuji·Masahide Manabe
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Abstract

Via Andersen-Borot-Orantin's geometric recursion, a twist of the topological recursion was proposed, and a recursion for the Masur-Veech polynomials was uncovered. The purpose of this article is to explore generalizations of Mirzakhani's recursion based on physical two-dimensional gravity models related to the Jackiw-Teitelboim gravity and to provide an introduction to various realizations of topological recursion. For generalized Mirzakhani's recursions involving a Masur-Veech type twist, we derive Virasoro constraints and cut-and-join equations, and also show some computations of generalized volumes for the physical two-dimensional gravity models.

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Hiroyuki Fuji, Masahide Manabe. 2023-03-24. Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions. https://doi.org/10.3842/sigma.2024.043

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