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

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 (32)

• Large N Field Theories, String Theory and Gravity
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• 2D Gravity and Random Matrices
• All genus correlation functions for the hermitian 1-matrix model
• Fermionic Localization of the Schwarzian Theory
• Ground Ring Of Two Dimensional String Theory
• Branes, Rings and Matrix Models in Minimal (Super)string Theory
• Hermitean matrix model free energy: Feynman graph technique for all genera
• The Annular Report on Non-Critical String Theory
• Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model
• Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
• Identification of the Givental formula with the spectral curve topological recursion procedure
• Unitary and Complex Matrix Models as 1-d Type 0 Strings
• Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
• Explorations of Non-Perturbative JT Gravity and Supergravity
• Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)
• JT Supergravity, Minimal Strings, and Matrix Models
• A new cohomology class on the moduli space of curves
• Unitary And Hermitian Matrices In An External Field II: The Kontsevich Model And Continuum Virasoro Constraints
• The ABCD of topological recursion
• Decorated Super-Teichmüller Space
• Universal scaling limits of matrix models, and (p,q) Liouville gravity
• Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
• Topological recursion for Masur-Veech volumes
• Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
• Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
• $\mathcal{N}=2$ Super-Teichmüller Theory
• Enumerative geometry via the moduli space of super Riemann surfaces
• Square-tiled surfaces of fixed combinatorial type: equidistribution, counting, volumes of the ambient strata
• 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

Cited by in corpus (1)

• Supersymmetric Virasoro Minimal Strings