We show that, if g ≥ 2, the virtual cohomological dimension of the mapping class group of a three-dimensional handlebody of genus $\g$ is equal to $4\g-5$ and its Euler number is equal to 0.
Publié le : 2003-12-14
Classification:
Virtual cohomological dimension,
Euler numver,
3-dimensional handlebody,
mapping class group,
57N10,
20F38,
57M50
@article{1113247129,
author = {Hirose, Susumu},
title = {Some homological invariants of the mapping class group of a three-dimensional handlebody},
journal = {Tohoku Math. J. (2)},
volume = {55},
number = {2},
year = {2003},
pages = { 543-549},
language = {en},
url = {http://dml.mathdoc.fr/item/1113247129}
}
Hirose, Susumu. Some homological invariants of the mapping class group of a three-dimensional handlebody. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp. 543-549. http://gdmltest.u-ga.fr/item/1113247129/