带边4-流形的无穷同伦稳定类
几何拓扑
2023-11-08 v2
摘要
我们证明，对每个奇素数 ，存在一个拓扑 4-流形族 ，它们彼此稳定同胚，所有流形 具有等距的一秩等变交配对以及边界 L(2q, 1) # (S^1 \times S^2)，但它们两两之间不存在限制为边界同伦等价的任何同伦等价所给出的同伦等价。
引用
@article{arxiv.2210.00927,
title = {Infinite homotopy stable class for 4-manifolds with boundary},
author = {Anthony Conway and Diarmuid Crowley and Mark Powell},
journal= {arXiv preprint arXiv:2210.00927},
year = {2023}
}
备注
v1: 12 pages. v2: 26 pages. The paper underwent a significant rewrite to account for a gap on page 3 of v1, related to whether the union of two spin manifolds is again spin. The main result of the paper is unaffected