Compact components of planar surface group representations

DOI10.1090/conm/783/15701OpenAlexW4323646347MaRDI QIDQ5886547

William M. Goldman

Publication date: 5 April 2023

Published in: Computational Aspects of Discrete Subgroups of Lie Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/783/15701

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Groups as automorphisms of other structures (22F50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Cyclic surfaces and Hitchin components in rank 2
• Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
• Surface group representations with maximal Toledo invariant
• Ergodic theory on moduli spaces
• The modular group action on real \(SL(2)\)-characters of a one-holed torus
• Topology of representation spaces of surface groups in \(\mathrm{PSL}_2(\mathbb R)\) with assigned boundary monodromy and nonzero Euler number
• Character varieties
• Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
• The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
• Supra-maximal representations from fundamental groups of punctured spheres to PSL(2,ℝ)
• Geometric Structures on Manifolds
• Unnamed Item

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