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arXiv · 0705.3564

New results of intersection numbers on moduli spaces of curves

Kefeng Liu·Hao Xu
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Abstract

We present a series of new results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witten's $\tau$ classes, an effective recursion formula to compute higher Weil-Petersson volumes, several new recursion formulae of intersection numbers and our proof of a conjecture of Itzykson and Zuber concerning denominators of intersection numbers. We also present Virasoro and KdV properties of generating functions of general mixed $\kappa$ and $\psi$ intersections.

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Kefeng Liu, Hao Xu. 2007-05-24. New results of intersection numbers on moduli spaces of curves. https://doi.org/10.1073/pnas.0705910104

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