紧3-流形的无限补全、上同调和JSJ分解

Q4 Mathematics

New Zealand Journal of Mathematics Pub Date : 2018-02-26 DOI:10.17863/CAM.37668

G. Wilkes

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引用次数: 6

摘要

本文将以往关于闭3流形的JSJ分解在无限补齐下的行为的结果推广到有边界的紧3流形的情况。我们还说明了另一种可能更自然的方法来部分原始定理，使用相对上同调来分析无限树上的环向群对的作用。

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

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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来源期刊

New Zealand Journal of Mathematics Mathematics-Algebra and Number Theory

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

50 weeks