English

The homeomorphism problem for closed 3-manifolds

Geometric Topology 2014-11-11 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.1211.0264,
  title  = {The homeomorphism problem for closed 3-manifolds},
  author = {Peter Scott and Hamish Short},
  journal= {arXiv preprint arXiv:1211.0264},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T22:31:45.497Z