Recursion between Mumford volumes of moduli spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We propose a new proof, as well as a generalization of Mirzakhani's recursion for volumes of moduli spaces. We interpret those recursion relations in terms of expectation values in Kontsevich's integral, i.e. we relate them to a Ribbon graph decomposition of Riemann surfaces. We find a generalization of Mirzakhani's recursions to measures containing all higher Mumford's kappa classes, and not only kappa1 as in the Weil-Petersson case.
Latex, 18 pages

Keywords

Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/133134

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.4403
 http://arxiv.org/abs/0706.4403

Collections

arXiv