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Multi-switches and virtual knot invariants. / Bardakov, Valeriy; Nasybullov, Timur.

In: Topology and its Applications, Vol. 293, 107552, 15.04.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, V & Nasybullov, T 2021, 'Multi-switches and virtual knot invariants', Topology and its Applications, vol. 293, 107552. https://doi.org/10.1016/j.topol.2020.107552

APA

Bardakov, V., & Nasybullov, T. (2021). Multi-switches and virtual knot invariants. Topology and its Applications, 293, [107552]. https://doi.org/10.1016/j.topol.2020.107552

Vancouver

Bardakov V, Nasybullov T. Multi-switches and virtual knot invariants. Topology and its Applications. 2021 Apr 15;293:107552. doi: 10.1016/j.topol.2020.107552

Author

Bardakov, Valeriy ; Nasybullov, Timur. / Multi-switches and virtual knot invariants. In: Topology and its Applications. 2021 ; Vol. 293.

BibTeX

@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 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = apr,
day = "15",
doi = "10.1016/j.topol.2020.107552",
language = "English",
volume = "293",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Multi-switches and virtual knot invariants

AU - Bardakov, Valeriy

AU - Nasybullov, Timur

N1 - Funding Information: The results are supported by the grant of the Russian Science Foundation (project 19-41-02005 ). Publisher Copyright: © 2020 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/4/15

Y1 - 2021/4/15

N2 - 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.

AB - 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.

KW - Knot invariant

KW - Multi-switch

KW - Quandle

KW - Virtual knot

KW - Yang-Baxter equation

UR - http://www.scopus.com/inward/record.url?scp=85098566341&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2020.107552

DO - 10.1016/j.topol.2020.107552

M3 - Article

AN - SCOPUS:85098566341

VL - 293

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 107552

ER -

ID: 27342753