Lectures and notes: Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers

2011/07/31 by Scott A. Wolpert, Wolpert, Scott A.
Mathematics · #14H15 #30F10 #32G15 #53D30 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1108.0174

openalex publication_date 2011/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The materials accompany a lecture short course presented at the 2011 Park City Mathematics Institute, Graduate Summer School on Moduli Spaces of Riemann Surfaces. The lectures were part of/coordinated with an overall program, including lectures by Ursula Hamenstadt on Teichmueller Theory, Andy Putman on Mapping Class and Torelli Groups, and Carel Faber on Tautological algebras of Moduli Spaces.

Citations

• Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus

Related

• A tour through Mirzakhani's work on moduli spaces of Riemann surfaces
• The moduli space of curves and Gromov-Witten theory
• Moduli of Riemann Surfaces, Transcendental Aspects
• Les Houches lecture notes on moduli spaces of Riemann surfaces
• Relations in the tautological ring