Action of the Johnson-Torelli group on representation varieties

DOI10.1090/S0002-9939-2011-10972-9zbMath1244.57007arXiv1003.2825OpenAlexW2036763594MaRDI QIDQ5389406

William M. Goldman, Eugene Z. Xia

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2825

zbMATH Keywords

mapping class groupergodic actioncharacter varietyJohnson-Torelli group

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ergodic theory on groups (22D40) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (3)

Several remarks on groups of automorphisms of free groups ⋮ Ergodicity of the mapping class group action on Deroin-Tholozan representations ⋮ Rank 1 character varieties of finitely presented groups

Cites Work

• Ergodicity of mapping class group actions on representation varieties. I: Closed surfaces
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• The symplectic nature of fundamental groups of surfaces
• Ergodic theory on moduli spaces
• Ergodicity of mapping class group actions on representation varieties. II: Surfaces with boundary
• Symplectic and Poisson structures of certain moduli spaces. I
• Cutting and pasting in the Torelli group
• Ergodicity of Mapping Class Group Actions on SU(2)-character varieties
• Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces

This page was built for publication: Action of the Johnson-Torelli group on representation varieties