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

Guéritaud, François¹

¹ DMA, École normale supérieure, CNRS, 45 rue d’Ulm, 75005 Paris, France

Geometry & topology, Tome 10 (2006) no. 3, pp. 1239-1284.

Résumé

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.

Détail

DOI : 10.2140/gt.2006.10.1239

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

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