The homeomorphism problem for closed 3-manifolds

Abstract

We give a more geometric approach to an algorithm for deciding whether two hyperbolic 3-manifolds are homeomorphic. We also give a more algebraic approach to the homeomorphism problem for geometric, but non-hyperbolic, 3-manifolds.

first version: 12 pages. Replacement: 14 pages. Includes minor improvements to exposition in response to referee's comments

References in corpus (2)

• Ricci flow with surgery on three-manifolds
• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

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• On the treewidth of triangulated 3-manifolds
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• Learning 3-Manifold Triangulations