On the virtually-cyclic dimension of mapping class groups of punctured spheres
arXiv:1708.03709 · doi:10.2140/agt.2018.18.2471
Abstract
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.
V2: remarks 1.4 and 4.2 have been rephrased