Profinite rigidity of graph manifolds, II: knots and mapping classes
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Wilkes, Gareth https://orcid.org/0000-0002-4572-290X
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.
Description
Keywords
math.GT, math.GT, 57M05 (Primary), 57M27, 20E18, 57M25 (Secondary)
Journal Title
Israel Journal of Mathematics
Conference Name
Journal ISSN
0021-2172
1565-8511
1565-8511
Volume Title
233
Publisher
Springer Science and Business Media LLC