Lectures and notes: Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers
arXiv:1108.0174
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.
The lectures begin in Section 3 on page 8
References in corpus (6)
- Two Dimensional Gauge Theories Revisited
- Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
- Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
- On the large genus asymptotics of Weil-Petersson volumes
- Estimates of Weil-Petersson volumes via effective divisors
- Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus