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

被引：0
作者：
Martin Kassabov
Andrew Putman
机构：
[1] Cornell University,Department of Mathematics
[2] University of Notre Dame,Department of Mathematics
来源：
Mathematische Annalen | 2020年 / 376卷
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摘要：
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 a Z[Sp2g(Z)]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}[{{\,\mathrm{Sp}\,}}_{2g}(\mathbb {Z})]$$\end{document}-module.
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页码：227 / 241
页数：14
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