Basic \(\mathrm{PU}(1,1)\)-representations of the hyperelliptic group are discrete

DOI10.1007/s10711-022-00678-7zbMath1486.30120arXiv2106.09569OpenAlexW4212776698MaRDI QIDQ2114357

Felipe A. Franco

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/2106.09569

zbMATH Keywords

hyperbolic geometryTeichmüller spaceshyperelliptic surfaces

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discontinuous groups of transformations (57S30) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Topological components of spaces of representations
• Representations of surface groups in complex hyperbolic space
• Special elliptic isometries, relative \(\mathrm{SU}(2,1)\)-character varieties, and bendings
• On the existence of a connection with curvature zero
• Bundles with totally disconnected structure group
• Hyperbolic octagons and Teichmüller space in genus 2
• Complex Hyperbolic Structures on Disc Bundles over Surfaces
• SMOOTH COVERINGS OF HYPERELLIPTIC SURFACES

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