On canonical triangulations of once-punctured torus bundles and two-bridge link complements
arXiv:math/0406242 · doi:10.2140/gt.2006.10.1239
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.
arXiv commentThis is the version published by Geometry & Topology on 16 September 2006. Appendix by David Futer
Cited by in corpus (31)
- The Volume Conjecture, Perturbative Knot Invariants, and Recursion Relations for Topological Strings
- Solving 3d Gravity with Virasoro TQFT
- Semiclassical Analysis of the 3d/3d Relation
- Volume bounds for weaving knots
- Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
- 3d N=2 Theories from Cluster Algebras
- Veering triangulations admit strict angle structures
- Explicit angle structures for veering triangulations
- Hyperbolic 3-manifolds and Cluster Algebras
- A variation of McShane's identity for 2-bridge links
- Ideal triangulations and geometric transitions
- Canonical triangulations of Dehn fillings
- A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
- On diagrammatic bounds of knot volumes and spectral invariants
- On hyperbolic once-punctured-torus bundles III: Comparing two tessellations of the complex plane
- On minimal ideal triangulations of cusped hyperbolic 3-manifolds
- Dehn filling and the geometry of unknotting tunnels
- A generalisation of the deformation variety
- Hidden Symmetries and Commensurability of 2-Bridge Link Complements
- Spectrally similar incommensurable 3-manifolds
- Even triangulations of n-dimensional pseudo-manifolds
- Geometric triangulations and highly twisted links
- Treewidth, crushing, and hyperbolic volume
- Upper bounds for volumes of generalized hyperbolic polyhedra and hyperbolic links
- Geometric triangulations of a family of hyperbolic 3-braids
- Integral left-orderable surgeries on genus one fibered knots
- Infinitely many virtual geometric triangulations
- On the topology of character varieties of once-punctured torus bundles
- The twisted 1-loop invariant and the Jacobian of Ptolemy coordinates
- Farey Recursive Functions
- Volume bounds for hyperbolic rod complements in the 3-torus