Skew-rack cocycle invariants of closed 3-manifolds
Geometric Topology
2026-05-06 v2
Abstract
We establish a new approach to obtain 3-manifold invariants via Dehn surgery. For this, we introduce skew-racks with good involution and Property FR, and define cocycle invariants as 3-manifold invariants. We also define some link invariants in the 3-sphere which are invariant up to link-homotopic.
Keywords
Cite
@article{arxiv.2303.12995,
title = {Skew-rack cocycle invariants of closed 3-manifolds},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:2303.12995},
year = {2026}
}
Comments
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