Multi-switches and virtual knot invariants

Valeriy Bardakov; Timur Nasybullov

doi:10.1016/j.topol.2020.107552

Multi-switches and virtual knot invariants

Valeriy Bardakov, Timur Nasybullov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

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 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 the previously known quandle invariants for virtual links.

Язык оригинала	английский
Номер статьи	107552
Журнал	Topology and its Applications
Том	293
DOI	https://doi.org/10.1016/j.topol.2020.107552
Состояние	Опубликовано - 15 апр 2021

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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.",

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AU - Nasybullov, Timur

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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

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JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 107552

ER -

Multi-switches and virtual knot invariants

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