Canonical polygons for the hyperbolic structures on the torus with a single cone point

DOI10.1016/J.TOPOL.2015.05.009zbMath1404.57030OpenAlexW592737417MaRDI QIDQ897420

Hirotaka Akiyoshi

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.009

zbMATH Keywords

fundamental polyhedroncone hyperbolic structureJorgensen theory

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Thin representations for the one-cone torus group

Cites Work

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• Geometrization of 3-dimensional orbifolds
• Punctured torus groups and 2-bridge knot groups. I
• Compact 3-manifolds of constant negative curvature fibering over the circle
• The modular group action on real \(SL(2)\)-characters of a one-holed torus
• Generalized Markoff maps and McShane's identity
• End invariants for SL(2,C) characters of the one-holed torus

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