Skew-rack cocycle invariants of closed 3-manifolds

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.

arXiv comment13 pages, 3 figures. I noticed several typomiss; so I corrected them. Furthermore, I deleted Appendix A, which might be discussed elsewhere. Comments are welcome