Mirzakhani's recursion formula on Weil-Petersson volume and applications
Geometric Topology
2015-09-24 v1 Algebraic Geometry
Complex Variables
Abstract
We give an overview of the proof for Mirzakhani's volume recursion for the Weil-Petersson volumes of the moduli spaces of genus hyperbolic surfaces with labeled geodesic boundary components, and her application of this recursion to Witten's conjecture and the study of simple geodesic length spectrum growth rates.
Keywords
Cite
@article{arxiv.1509.06880,
title = {Mirzakhani's recursion formula on Weil-Petersson volume and applications},
author = {Yi Huang},
journal= {arXiv preprint arXiv:1509.06880},
year = {2015}
}
Comments
To appear in the Handbook of Teichm\"uller theory. 34 pages, 7 figures