Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds
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 extend previous results concerning the behaviour of JSJ decompositions of closed 3-manifolds with respect to the profinite completion to the case of compact 3-manifolds with boundary. We also illustrate an alternative and perhaps more natural approach to part of the original theorem, using relative cohomology to analyse the actions of an-annular atoroidal groups on profinite trees.
Description
Keywords
math.GT, math.GT, 57M05 (Primary), 57M27, 20E18, 20J06 (Secondary)
Journal Title
New Zealand Journal of Mathematics
Conference Name
Journal ISSN
1179-4984
Volume Title
48
Publisher
New Zealand Mathematical Society & University of Auckland