The second rational homology of the Torelli group is finitely generated
Geometric Topology
2025-04-08 v2
Abstract
We prove that second rational homology of the Torelli group of an orientable closed surface of genus g is finite dimensional for g at least 51. This rules out the simplest obstruction to the Torelli group being finitely presented and provides a partial answer to a question of Bestvina.
Cite
@article{arxiv.2307.07082,
title = {The second rational homology of the Torelli group is finitely generated},
author = {Daniel Minahan},
journal= {arXiv preprint arXiv:2307.07082},
year = {2025}
}
Comments
This work has been subsumed and significantly improved upon by work of the author and Putman. This work is a permanent preprint