Dirichlet domains for some one-cone torus bundles

DOI10.1016/J.TOPOL.2020.107490zbMath1477.51019OpenAlexW3113306444MaRDI QIDQ820620

Hirotaka Akiyoshi

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107490

zbMATH Keywords

surface bundlefundamental polyhedroncone hyperbolic structure

Mathematics Subject Classification ID

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

Cites Work

• Geometrization of 3-dimensional orbifolds
• Punctured torus groups and 2-bridge knot groups. I
• Euclidean decompositions of noncompact hyperbolic manifolds
• Incompressible surfaces in punctured-torus bundles
• Compact 3-manifolds of constant negative curvature fibering over the circle
• The canonical decomposition of once-punctured torus bundles
• The diagonal slice of Schottky space
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