Volume 19 (2015)

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Decision problems for $3$–manifolds and their fundamental groups

Matthias Aschenbrenner, Stefan Friedl and Henry Wilton

Geometry & Topology Monographs 19 (2015) 201–236
 arXiv: 1405.6274
Abstract

We survey the status of some decision problems for $3$–manifolds and their fundamental groups. This includes the classical decision problems for finitely presented groups (word problem, conjugacy problem, isomorphism problem), and also the homeomorphism problem for $3$–manifolds and the membership problem for $3$–manifold groups.

Keywords
3-manifolds, fundamental groups, decision problems
Primary: 57M05