Volume 10, issue 3 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
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
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