Decision problems for 3-manifolds and their fundamental groups
Geometric Topology
2015-02-18 v2 Group Theory
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
Cite
@article{arxiv.1405.6274,
title = {Decision problems for 3-manifolds and their fundamental groups},
author = {Matthias Aschenbrenner and Stefan Friedl and Henry Wilton},
journal= {arXiv preprint arXiv:1405.6274},
year = {2015}
}
Comments
31 pages, final version