@article{6f139f1e7e224ce9997c7a2af012e538,
title = "Multi-switches and virtual knot invariants",
abstract = "Given a virtual biquandle multi-switch (S,V) on an algebraic system X (from some category) and a virtual link L, we introduce a general approach to construct an algebraic system XS,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 the previously known quandle invariants for virtual links.",
keywords = "Knot invariant, Multi-switch, Quandle, Virtual knot, Yang-Baxter equation",
author = "Valeriy Bardakov and Timur Nasybullov",
note = "Funding Information: The results are supported by the grant of the Russian Science Foundation (project 19-41-02005 ). Publisher Copyright: {\textcopyright} 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
doi = "10.1016/j.topol.2020.107552",
language = "English",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",
}