Profinite Completions, Cohomology and JSJ Decompositions of Compact 3-Manifolds

Authors

  • Gareth Wilkes University of Cambridge

DOI:

https://doi.org/10.53733/33

Keywords:

3-manifold, profinite completion, cohomology

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 group pairs on profinite trees.

 

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Author Biography

Gareth Wilkes, University of Cambridge

Department of Pure Mathematics and Mathematical Statistics,

Centre for Mathematical Sciences,

University of Cambridge,

Wilberforce Road,

Cambridge,

United Kingdom.

 

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Published

31-12-2018

How to Cite

Wilkes, G. (2018). Profinite Completions, Cohomology and JSJ Decompositions of Compact 3-Manifolds. New Zealand Journal of Mathematics, 48, 101–113. https://doi.org/10.53733/33

Issue

Vol. 48 (2018)

Section

Articles