Mapping class group dynamics on \(\operatorname{Aff}(\mathbb{C})\)-characters

DOI10.5802/aif.3024zbMath1355.57003arXiv1406.7489OpenAlexW2334258405MaRDI QIDQ332199

Selim Ghazouani

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7489

zbMATH Keywords

mapping class groupergodic theoryTorelli groupcharacter varietycomplex affine groupcomplex branched affine structure

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Fundamental group, presentations, free differential calculus (57M05)

Related Items (3)

Mapping class group dynamics and the holonomy of branched affine structures ⋮ Holonomy of complex projective structures on surfaces with prescribed branch data ⋮ Ergodicity of the mapping class group action on Deroin-Tholozan representations

Cites Work

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• Ergodicity of mapping class group actions on representation varieties. I: Closed surfaces
• The symplectic nature of fundamental groups of surfaces
• Ergodic theory on moduli spaces
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• The Gunning cohomology bundle and the Torelli group.
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Periods of abelian differentials and dynamics
• On Discrete Groups of Mobius Transformations
• Flat Surfaces
• Ergodicity of Flows on Homogeneous Spaces
• Hyperbolic manifolds and discrete groups

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