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arXiv · 1509.06880

Mirzakhani's recursion formula on Weil-Petersson volume and applications

Yi Huang
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Abstract

We give an overview of the proof for Mirzakhani's volume recursion for the Weil-Petersson volumes of the moduli spaces of genus $g$ hyperbolic surfaces with $n$ labeled geodesic boundary components, and her application of this recursion to Witten's conjecture and the study of simple geodesic length spectrum growth rates.

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Yi Huang. 2015-09-23. Mirzakhani's recursion formula on Weil-Petersson volume and applications. https://arxiv.org/abs/1509.06880

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