Some Finite Quotients of the Mapping Class Group of a Surface

DOI10.2307/2046247zbMath0596.57007OpenAlexW4236166455MaRDI QIDQ3729689

Patricia L. Sipe

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046247

zbMATH Keywords

mapping class groupcompact surfaceTeichmüller modular groupcanonical bundle of the universal Teichmüller curve

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Compact Riemann surfaces and uniformization (30F10) Differential topological aspects of diffeomorphisms (57R50)

Related Items

String-net models for nonspherical pivotal fusion categories ⋮ Generalised spin structures on 2-dimensional orbifolds ⋮ A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers ⋮ On minimal finite quotients of mapping class groups ⋮ Genus 3 mapping class groups are not Kähler ⋮ Higher spin mapping class groups and strata of abelian differentials over Teichmüller space ⋮ Connected components of strata of abelian differentials over Teichmüller space

Cites Work

• Roots of the canonical bundle of the universal Teichmüller curve and certain subgroups of the mapping class group
• Families of Riemann surfaces and Jacobi varieties
• Abelian quotients of the Teichmüller modular group
• Spin Structures and Quadratic forms on Surfaces
• Riemann surfaces and spin structures
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