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arXiv · 1708.03709

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

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

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J. Aramayona, D. Juan-Pineda, A. Trujillo-Negrete. 2017-08-11. On the virtually-cyclic dimension of mapping class groups of punctured spheres. https://doi.org/10.2140/agt.2018.18.2471

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