Geodesic
Mapping class group of a handlebody
Fundamenta Mathematicae, Tome 158 (1998) no. 3, pp. 195-228

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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.
DOI : 10.4064/fm-158-3-195-228

Bronisław Wajnryb 1

1 
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Bronisław Wajnryb. Mapping class group of a handlebody. Fundamenta Mathematicae, Tome 158 (1998) no. 3, pp. 195-228. doi: 10.4064/fm-158-3-195-228

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