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

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

References

Forward citations

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

Volume 10, issue 3 (2006)

François Guéritaud

Appendix: David Futer

Abstract