Work

MC-biquandles and MC-biquandle coloring quivers

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216524500330

Authors: Seonmi Choi, Sam Nelson

Institutions: Seowon University, Claremont McKenna College

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, Ministry of Education, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Awards: G5103156922, G5407483848, G5820875047