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

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

2007-05-24

arxiv.org/abs/0705.3600v1

Physics

Mathematical Physics

Latex, 9 pages

Scientific paper

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}).

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