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arXiv · 2001.06971

Multi-switches and virtual knot invariants

Valeriy Bardakov·Timur Nasybullov
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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.

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Valeriy Bardakov, Timur Nasybullov. 2020-01-20. Multi-switches and virtual knot invariants. https://arxiv.org/abs/2001.06971

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