Multi-switches and virtual knot invariants

Valeriy Bardakov; Timur Nasybullov

Multi-switches and virtual knot invariants

Algebraic Topology 2020-01-22 v1 Group Theory Geometric Topology

Authors: Valeriy Bardakov , Timur Nasybullov

Abstract

In the paper we introduce a general approach how for a given virtual biquandle multi-switch $(S,V)$ on an algebraic system $X$ (from some category) and a given virtual link $L$ construct an algebraic system $X_{S,V}(L)$ (from the same category) which is an invariant of $L$ . As a corollary we introduce a new quandle invariant for virtual links which generalizes previously known quandle invariants for virtual links.

Keywords

knot invariants invariant theory

Cite

@article{arxiv.2001.06971,
  title  = {Multi-switches and virtual knot invariants},
  author = {Valeriy Bardakov and Timur Nasybullov},
  journal= {arXiv preprint arXiv:2001.06971},
  year   = {2020}
}

Comments

27 pages, 21 figures

Multi-switches and virtual knot invariants

Abstract

Keywords

Cite

Comments

Related papers