EUDML | An elementary approach to the mapping class group of a surface.

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Displaying similar documents to “An elementary approach to the mapping class group of a surface.”

Mapping class group of a handlebody

Bronisław Wajnryb (1998)

Fundamenta Mathematicae

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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.

Finite presentations for the mapping class group via the ordered complex of curves.

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