三维流形群中挠元的中心化子
几何拓扑
2021-11-19 v2
摘要
我们证明：若 是一个 -复形且 具有有限阶 且中心化子无限，则 可收缩到 。若 是不可约闭三维流形，则由射影平面定理可知 。
引用
@article{arxiv.2111.01284,
title = {Centralizers of torsion in 3-manifold groups},
author = {Jonathan A. Hillman},
journal= {arXiv preprint arXiv:2111.01284},
year = {2021}
}
备注
v2: added three questions relating to possible analogues of the Projective Plane Theorem, and a new section giving alternative arguments due (separately) to J.S. Crisp and G.A. Swarup