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ArticleOriginal scientific text

Title

Mapping class group of a handlebody

Authors 1

Affiliations

  1. Department of Mathematics, Technion 32000, Haifa, Israel

Abstract

Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.

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Fundamenta Mathematicae
1998/158/3
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Pages:
195-228
Main language of publication
English
Received
1997-09-02
Accepted
1998-01-05
Published
1998
Exact and natural sciences