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

Mathematics – Geometric Topology

Scientific paper

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This is the version published by Geometry & Topology on 16 September 2006. Appendix by David Futer

Scientific paper

10.2140/gt.2006.10.1239

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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