Music of moduli spaces

DOI10.4171/emss/75arXiv2109.05600OpenAlexW4388687721MaRDI QIDQ6149849

Robert C. Penner

Publication date: 6 February 2024

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05600

zbMATH Keywords

mapping class groupsRiemann moduli spaceslambda lengths

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Decorated Teichmüller theory
• Function theory, random paths and covering spaces
• Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
• The decorated Teichmüller space of punctured surfaces
• The density at infinity of a discrete group of hyperbolic motions
• Sketch of a program for automorphic functions from universal Teichmüller theory to capture monstrous moonshine
• Universal constructions in Teichmüller theory

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