English

Tensor products of quandles and 1-handles attached to surface-links

Geometric Topology 2020-09-23 v2

Abstract

A quandle is an algebra with two binary operations satisfying three conditions which are related to Reidemeister moves in knot theory. In this paper we introduce the notion of the (canonical) tensor product of a quandle. The tensor product of the knot quandle or the knot symmetric quandle of a surface-link in 44-space can be used to classify or construct invariants of 11-handles attaching to the surface-link.

Keywords

Cite

@article{arxiv.2003.12977,
  title  = {Tensor products of quandles and 1-handles attached to surface-links},
  author = {Seiichi Kamada},
  journal= {arXiv preprint arXiv:2003.12977},
  year   = {2020}
}