On the mapping class group of a genus 2 handlebody

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Mapping class group of a handlebody

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 ofM. We consider a 3-dimensional...

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2011

ISSN: 0166-8641

DOI: 10.1016/j.topol.2011.02.004