Equivariant group presentations and the second homology group of the Torelli group
Geometric Topology
2020-06-09 v3 Algebraic Topology
Group Theory
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 -module.
Keywords
Cite
@article{arxiv.1807.01338,
title = {Equivariant group presentations and the second homology group of the Torelli group},
author = {Martin Kassabov and Andrew Putman},
journal= {arXiv preprint arXiv:1807.01338},
year = {2020}
}
Comments
13 pages, 2 figures; minor corrections; to appear in Math. Ann