The homeomorphism problem for closed 3-manifolds

Peter Scott , Hamish Short (1, 2)

1 I2M - Institut de Mathématiques de Marseille
2 Mathématiques Fondamentales

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.

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Peter Scott, Hamish Short. The homeomorphism problem for closed 3-manifolds. Algebraic and Geometric Topology, 2014, 14 (4), pp.2431-2444. ⟨10.2140/agt.2014.14:2431⟩. ⟨hal-00821452⟩