Work

Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models

Year: 2007

Type: preprint

Abstract: We show that Mirzakhani's recursions for the volumes of moduli space of Riemann surfaces are a special case of random matrix loop equations, and therefore we confirm again that Kontsevitch's integral is a generating function for those volumes. As an application, we propose a formula for the Weil-Petersson volume Vol(M_{g,0}).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0705.3600

Authors: Eynard, Bertrand, Orantin, Nicolas

Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA Paris-Saclay - Etablissement de Saclay

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Science Foundation, Agence Nationale de la Recherche, Fonds Québécois de la Recherche sur la Nature et les Technologies

OpenAlex ID: W23504064

Cites: 4

Cited by: 129

Related to: 10