Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions
arXiv:2303.14154 · doi:10.3842/SIGMA.2024.043
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.
References in corpus (11)
- The Annular Report on Non-Critical String Theory
- Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
- Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
- Explorations of Non-Perturbative JT Gravity and Supergravity
- JT Supergravity, Minimal Strings, and Matrix Models
- Universal scaling limits of matrix models, and (p,q) Liouville gravity
- Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
- Enumerative geometry via the moduli space of super Riemann surfaces
- From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes
- Cut-and-join operators for higher Weil-Petersson volumes
- On the Hodge-BGW correspondence