Equivariant group presentations and the second homology group of the Torelli group

Published 3 Jul 2018 in math.GT, math.AT, and math.GR | (1807.01338v3)

Abstract: We develop a theory of equivariant group presentations and relate them to the second homology group of a group. Our main application says that the second homology group of the Torelli subgroup of the mapping class group is finitely generated as an $Sp(2g,\mathbb{Z})$-module.

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