闭三维流形的斜 racks 上同调不变量
几何拓扑
2026-05-06 v2
摘要
我们建立了一种通过 Dehn 手术获得三维流形不变量的新方法。为此，我们引入了具有良好对合与 Property FR 的斜 racks，并定义了作为三维流形不变量的上同调不变量。我们还定义了 3-球中的一些链环不变量，这些不变量在链环同伦意义下保持不变。
引用
@article{arxiv.2303.12995,
title = {Skew-rack cocycle invariants of closed 3-manifolds},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:2303.12995},
year = {2026}
}
备注
13 pages, 3 figures. I noticed several typomiss; so I corrected them. Furthermore, I deleted Appendix A, which might be discussed elsewhere. Comments are welcome