Multi-switches and virtual knot invariants

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.