arXiv:1802.09282 [math.GT]AbstractReferencesReviewsResources
Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds
Published 2018-02-26Version 1
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.
Comments: 13 pages
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:2410.16002 [math.GT] (Published 2024-10-21)
Profinite almost rigidity in 3-manifolds
arXiv:2011.03784 [math.GT] (Published 2020-11-07)
Distinguishing 4-dimensional geometries via profinite completions
arXiv:1505.07799 [math.GT] (Published 2015-05-28)
The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm