English

A group-valued invariant of knots in the full torus

Geometric Topology 2022-03-22 v1

Abstract

Knot concordance plays a crucial role in the low dimensional topology. We propose a very elementary techniques which allows one to construct a lot of sliceness obstructions for knots in the full torus. Our approach deals with group theoretical techniques; it is completely combinatorial, and the groups are very easy to deal with.

Keywords

Cite

@article{arxiv.2203.11040,
  title  = {A group-valued invariant of knots in the full torus},
  author = {Vassily Olegovich Manturov and Igor Mikhailovich Nikonov},
  journal= {arXiv preprint arXiv:2203.11040},
  year   = {2022}
}