Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity

Details Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity

1998-11-05

arxiv.org/abs/math/9811026v1

Mathematics

Algebraic Geometry

4 pages, AMSLaTeX

Scientific paper

A formula for the generating function of the Weil-Petersson volumes of moduli
spaces of pointed curves that is identical to the genus expansion of the free
energy in two dimensional gravity is obtained. The contribution of arbitrary
genus is expressed in terms of the Bessel function $J_0$.

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