Weil-Petersson volumes and cone surfaces

DOI10.1007/s10711-008-9345-yzbMath1177.32008arXivmath/0603406OpenAlexW2015734671MaRDI QIDQ833335

Paul Norbury, Norman Do

Publication date: 12 August 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603406

zbMATH Keywords

moduli spaceWeil-Petersson metric

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items

JT gravity and the asymptotic Weil-Petersson volume, A high-genus asymptotic expansion of Weil–Petersson volume polynomials, On polynomials counting essentially irreducible maps, Irreducible metric maps and Weil-Petersson volumes, An integrable road to a perturbative plateau, 2d dilaton gravity and the Weil-Petersson volumes with conical defects, A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces, McShane's identity, using elliptic elements, Towards large genus asymptotics of intersection numbers on moduli spaces of curves, Matrix models and deformations of JT gravity, 2D dilaton-gravity, deformations of the minimal string, and matrix models, Weil-Petersson geometry for families of hyperbolic conical Riemann surfaces, The path integral of 3D gravity near extremality; \textit{or}, JT gravity with defects as a matrix integral, Gravity as an ensemble and the moment problem, String and dilaton equations for counting lattice points in the moduli space of curves, Low-dimensional De Sitter quantum gravity, Fenchel–Nielsen coordinates and Goldman brackets

Uses Software

• Maple

Cites Work

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