Families of Riemann surfaces and Weil-Petersson geometry

2012/02/18 by Wolpert, Scott A. · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1202.4078

Abstract

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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• Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures

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