pith. sign in

arxiv: 1807.01338 · v3 · pith:Q5I5GGJCnew · submitted 2018-07-03 · 🧮 math.GT · math.AT· math.GR

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

Martin Kassabov , Andrew Putman This is my paper
classification 🧮 math.GT math.ATmath.GR
keywords grouphomologysecondequivariantpresentationstorelliapplicationclass
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finite generation, algebraicity, and representation stability for homology of Torelli groups

    math.GT 2026-06 unverdicted novelty 8.0

    Proves finite generation of H_k(I_g; Z) for k ≤ g-2 and that rational homology is an algebraic Sp(2g,Z)-representation, turning conditional cohomology computations into theorems and proving Morita's conjecture.