Profinite rigidity of graph manifolds, II: knots and mapping classes
Geometric Topology
2018-02-12 v2
Abstract
In this paper we study some consequences of the author's classification of graph manifolds by their profinite fundamental groups. In particular we study commensurability, the behaviour of knots, and relation to mapping classes. We prove that the exteriors of graph knots are distinguished among all 3-manifold groups by their profinite fundamental groups. We also prove a strong conjugacy separability result for certain mapping classes of surfaces.
Keywords
Cite
@article{arxiv.1801.06386,
title = {Profinite rigidity of graph manifolds, II: knots and mapping classes},
author = {Gareth Wilkes},
journal= {arXiv preprint arXiv:1801.06386},
year = {2018}
}
Comments
Minor revision, updating some references to refer to published versions of articles