Torelli 群的第二个有理同调是有限生成的
几何拓扑
2025-04-08 v2
摘要
我们证明,对亏格 g 至少 51 的可定向闭曲面,Torelli 群的第二个有理同调是有限维的。这排除了 Torelli 群有限呈示的最简单障碍,并对 Bestvina 的一个问题给出部分回答。
引用
@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}
}
备注
This work has been subsumed and significantly improved upon by work of the author and Putman. This work is a permanent preprint