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On canonical triangulations of once-punctured torus bundles
and two-bridge link complements
François Guéritaud
Appendix: David Futer
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Geometry & Topology 10 (2006)
1239–1284
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Abstract
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We prove the hyperbolization theorem for punctured torus bundles and two-bridge
link complements by decomposing them into ideal tetrahedra which are
then given hyperbolic structures, following Rivin’s volume maximization
principle.
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À la mémoire de Pierre
Philipps
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Keywords
hyperbolic geometry, hyperbolic volume,
ideal triangulations, surface bundles, two-bridge links,
angle structures
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Mathematical Subject Classification
Primary: 57M50
Secondary: 57M27
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Publication
Received: 10 November 2005
Revised: 29 July 2006
Accepted: 23 July 2006
Published: 16 September 2006
Proposed: Walter Neumann
Seconded: Jean-Pierre Otal, Joan Birman
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