English

Maps from braids to virtual braids and braid representations

Geometric Topology 2023-03-03 v2

Abstract

Virtual knot theory has experienced a lot of nice features that did not appear in classical knot theory, e.g., parity and picture-valued invariants. In the present paper we use virtual knot theory effects to construct new representations of classical (pure) braids.

Keywords

Cite

@article{arxiv.2210.06862,
  title  = {Maps from braids to virtual braids and braid representations},
  author = {V. O. Manturov and I. M. Nikonov},
  journal= {arXiv preprint arXiv:2210.06862},
  year   = {2023}
}
R2 v1 2026-06-28T03:32:00.635Z