English

Concordance group of virtual knots

Geometric Topology 2022-10-04 v1

Abstract

We study concordance of virtual knots. Our main result is that a classical knot K is virtually slice if and only if it is classically slice. From this we deduce that the concordance group of classical knots embeds into the concordance group of long virtual knots.

Keywords

Cite

@article{arxiv.1606.06404,
  title  = {Concordance group of virtual knots},
  author = {Hans U. Boden and Matthias Nagel},
  journal= {arXiv preprint arXiv:1606.06404},
  year   = {2022}
}
R2 v1 2026-06-22T14:30:01.319Z