Geometry & Topology 10 (2006) 1239–1284

DOI: 10.2140/gt.2006.10.1239

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.

Keywords

hyperbolic geometry, hyperbolic volume, ideal triangulations, surface bundles, two-bridge links, angle structures

Mathematical Subject Classification

Primary: 57M50

Secondary: 57M27

References

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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