Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces

DOI10.1007/s10711-010-9522-7zbMath1213.57005arXiv0807.1615OpenAlexW2030902080MaRDI QIDQ2430720

Frédéric Palesi

Publication date: 8 April 2011

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

Full work available at URL: https://arxiv.org/abs/0807.1615

zbMATH Keywords

mapping class grouprepresentation varietynon-orientable surfacemoduli space of flat connections

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (5)

Dynamics on nilpotent character varieties ⋮ Mapping class group dynamics and the holonomy of branched affine structures ⋮ Ergodicity of the mapping class group action on Deroin-Tholozan representations ⋮ On the character variety of the four-holed sphere ⋮ On the character variety of the three–holed projective plane

Cites Work

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• The volume of the moduli space of flat connections on a nonorientable 2-manifold
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• Reidemeister torsion, spectral sequences, and Brieskorn spheres.
• Exceptional discrete mapping class group orbits in moduli spaces

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