Multi-switches and virtual knot invariants

Multi-switches and virtual knot invariants Full article

Journal

Topology and its Applications
ISSN: 0166-8641

Output data

Year: 2021, Volume: 293, Article number : 107552, Pages count : DOI: 10.1016/j.topol.2020.107552

Tags

Knot invariant; Multi-switch; Quandle; Virtual knot; Yang-Baxter equation

Authors

Bardakov V. ^1,2,3,4 , Nasybullov T. ^1,2,3

Affiliations

1	Tomsk State University, pr. Lenina 36, Tomsk, 634050, Russian Federation
2	Sobolev Institute of Mathematics, Acad. Koptyug avenue 4, Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, Pirogova 1, Novosibirsk, 630090, Russian Federation
4	Novosibirsk State Agricultural University, Dobrolyubova 160, Novosibirsk, 630039, Russian Federation

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. © 2020 Elsevier B.V.

Bardakov V. , Nasybullov T.
Multi-switches and virtual knot invariants
Topology and its Applications. 2021. V.293. 107552 . DOI: 10.1016/j.topol.2020.107552 WOS Scopus OpenAlex

Web of science:	WOS:000630529600001
Scopus:	2-s2.0-85098566341
OpenAlex:	W3113758024

DB	Citing
Scopus	9
OpenAlex	10
Web of science	7