Volume 10, issue 3 (2006)

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On canonical triangulations of once-punctured torus bundles and two-bridge link complements

François Guéritaud

Appendix: David Futer

Geometry & Topology 10 (2006) 1239–1284

arXiv: math/0406242

Abstract

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.

À la mémoire de Pierre Philipps

Keywords
hyperbolic geometry, hyperbolic volume, ideal triangulations, surface bundles, two-bridge links, angle structures
Mathematical Subject Classification 2000
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
Authors
François Guéritaud
DMA, École normale supérieure, CNRS
45 rue d’Ulm
75005 Paris
France
David Futer
Math. Dept.
Michigan State University
East Lansing, MI 48824
USA