A high-genus asymptotic expansion of Weil–Petersson volume polynomials

DOI10.1063/5.0039385OpenAlexW3107083998MaRDI QIDQ5884338

Laura Monk, Nalini Anantharaman

Publication date: 20 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14889

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) Families, moduli of curves (analytic) (14H15)

Related Items

Introduction to the Special Issue: In memory of Jean Bourgain, Large genus asymptotics for lengths of separating closed geodesics on random surfaces, GOE statistics on the moduli space of surfaces of large genus, Towards optimal spectral gaps in large genus

Cites Work

• Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
• Towards large genus asymptotics of intersection numbers on moduli spaces of curves
• Pants decompositions of random surfaces
• Weil-Petersson volumes and cone surfaces
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• The symplectic nature of fundamental groups of surfaces
• Eigenvalue comparison theorems and its geometric applications
• Weil-Petersson areas of the moduli spaces of tori
• Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\)
• Lengths of closed geodesics on random surfaces of large genus
• Weil-Petersson volumes and intersection theory on the moduli space of curves
• Recursion Formulae of Higher Weil-Petersson Volumes
• The Tangle-Free Hypothesis on Random Hyperbolic Surfaces
• Geometry and spectra of compact Riemann surfaces