Biquandle Fares and Link Invariants

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sam Nelson, Stella Shah
DOI: 10.48550/arxiv.2602.06814
Cited by: 0

Abstract

We introduce a new family of invariants of oriented classical and virtual knots and links using fares, maps from paths in biquandle-colored diagrams to an abelian coefficient group. We consider the cases of 1-fares and 2-fares, provide examples to show that the enhancements are proper and end with some open questions about the cases of n-fares for n > 2.

Fields of Study & Subjects

Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology Advanced Combinatorial Mathematics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint