Families of Riemann surfaces and Weil-Petersson geometry

Details Families of Riemann surfaces and Weil-Petersson geometry Families of Riemann surfaces and Weil-Petersson geometry

2012-02-18

arxiv.org/abs/1202.4078v1

Mathematics

Differential Geometry

Scientific paper

A 2008 general overview on Weil-Petersson geometry is offered. A preliminary plan for the subsequent CBMS lectures at Central Connecticut State University is included. Mirzakhani's solution of Witten-Kontsevich is not included - this work essentially requires its own lectures. Lectures on Mirzakhani's Witten-Kontsevich were given at the 2011 Park City Mathematics Institute. Research on WP geometry coming after 2008 includes the Brock-Masur-Minsky second paper, Asymptotics of WP geodesics II: bounded geometry and unbounded entropy; the Burns-Masur-Wilkinson, The WP geodesic flow is ergodic; and the Wolpert, Geodesic-Length Functions and the WP curvature tensor.

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