MC-Biquandles and MC-Biquandle Coloring Quivers

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Bibliographic Details
Main Authors:	Choi, Seonmi, Nelson, Sam
Format:	Preprint
Published:	2023
Subjects:	Geometric Topology Quantum Algebra
Online Access:	Acceder al recurso
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_version_	1866916306360467456
author	Choi, Seonmi Nelson, Sam
author_facet	Choi, Seonmi Nelson, Sam
contents	We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures provide computable homset invariants for classical and virtual links. We categorify these homsets to obtain mc-biquandle coloring quivers and define several new link invariants via decategorification from these invariant quivers.
format	Preprint
id	arxiv_https___arxiv_org_abs_2311_00510
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	MC-Biquandles and MC-Biquandle Coloring Quivers Choi, Seonmi Nelson, Sam Geometric Topology Quantum Algebra We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures provide computable homset invariants for classical and virtual links. We categorify these homsets to obtain mc-biquandle coloring quivers and define several new link invariants via decategorification from these invariant quivers.
title	MC-Biquandles and MC-Biquandle Coloring Quivers
topic	Geometric Topology Quantum Algebra
url	https://arxiv.org/abs/2311.00510

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