Orbifolds and orbibundles in complex hyperbolic geometry

DOI10.1016/J.TOPOL.2023.108693arXiv2011.09372OpenAlexW3103418518MaRDI QIDQ6140861

Hugo Cattarucci Botós

Publication date: 22 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09372

zbMATH Keywords

Euler numberorbifoldscharacter varietiesdiffeologyToledo invariantcomplex hyperbolic geometryorbibundles\(\mathrm{PU}(2,1)\)-representations of surface groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Differential spaces (58A40) Topology and geometry of orbifolds (57R18) Several complex variables and analytic spaces (32-XX)

Cites Work

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• Hyperbolic 4-manifolds and conformally flat 3-manifolds
• Surface group representations with maximal Toledo invariant
• Representations of surface groups in complex hyperbolic space
• The moduli of flat PU(2,1) structures on Riemann surfaces
• Torus actions on symplectic manifolds
• A couple of real hyperbolic disc bundles over surfaces
• Primary spaces, Mackey's obstruction, and the generalized barycentric decomposition
• Toledo invariants of 2-orbifolds and Higgs bundles on elliptic surfaces
• Complex Hyperbolic Structures on Disc Bundles over Surfaces
• Orbifolds as diffeologies
• The Geometries of 3-Manifolds
• Hyperbolic manifolds and discrete groups
• Complex hyperbolic manifolds homotopy equivalent to a Riemann surface

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