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

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

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