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

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arxiv 2303.14154 v3 pith:5GM3JHHN submitted 2023-03-24 math-ph hep-thmath.AGmath.GTmath.MP

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

classification math-ph hep-thmath.AGmath.GTmath.MP
keywords recursiongravitymasur-veechmirzakhanitopologicalgeneralizationsgeneralizedmodels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universal formulae for correlators of a broad class of models

    hep-th 2026-04 unverdicted novelty 7.0

    Correlators of diverse models are expressed via universal formulae derived from a single defining function using KdV flows and the Gel'fand-Dikii equation.

  2. Universal formulae for correlators of a broad class of models

    hep-th 2026-04 unverdicted novelty 6.5

    Correlators of many integrable models are specializations of universal formulae built from one defining function via KdV/Gel'fand–Dikii structure, including a new closed form for V_{4,n}.

  3. Multicritical Dynamical Triangulations and Topological Recursion

    hep-th 2025-12 unverdicted novelty 5.0

    Topological recursion solves Schwinger-Dyson equations for multicritical and causal dynamical triangulations in 2D quantum gravity, yielding explicit amplitudes.