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Mirzakhani's recursion formula on Weil-Petersson volume and applications (1509.06880v1)
Published 23 Sep 2015 in math.GT, math.AG, and math.CV
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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