arXiv Analytics

Sign in

arXiv:1708.03709 [math.AT]AbstractReferencesReviewsResources

On the virtually-cyclic dimension of mapping class groups of punctured spheres

J. Aramayona, D. Juan-Pineda, A. Trujillo-Negrete

Published 2017-08-11Version 1

We calculate the virtually-cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually-cyclic dimension of the mapping class group of the twice-holed torus and of the closed genus-two surface.

Related articles: Most relevant | Search more
arXiv:1901.08028 [math.AT] (Published 2019-01-23)
Braid groups, mapping class groups and their homology with twisted coefficients
arXiv:1804.03716 [math.AT] (Published 2018-04-10)
On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups
arXiv:1407.4680 [math.AT] (Published 2014-07-17, updated 2015-06-04)
Abelian quotients of mapping class groups of highly connected manifolds