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.
@article{bwmeta1.element.bwnjournal-article-fmv158i3p195bwm,
author = {Bronis\l aw Wajnryb},
title = {Mapping class group of a handlebody},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {195-228},
zbl = {0928.57013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv158i3p195bwm}
}
Wajnryb, Bronisław. Mapping class group of a handlebody. Fundamenta Mathematicae, Tome 158 (1998) pp. 195-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv158i3p195bwm/
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