Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity
Peter Zograf
math.AGarXiv:math/9811026
Abstract
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 J0.
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