Repository logo
 

Profinite rigidity of graph manifolds, II: knots and mapping classes

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

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

Volume Title

233

Publisher

Springer Science and Business Media LLC