Biquandle Arrow Weight Enhacements

Autor: Sam Nelson, Migiwa Sakurai
Rok vydání: 2022
Předmět:
DOI: 10.48550/arxiv.2211.12606
Popis: We introduce a new infinite family of enhancements of the biquandle homset invariant called biquandle arrow weights. These invariants assign weights in an abelian group to intersections of arrows in a Gauss diagram representing a classical or virtual knot depending on the biquandle colors associated to the arrows. We provide examples to show that the enhancements are nontrivial and proper, i.e., not determined by the homset cardinality.
Comment: 11 pages; Version 2 corrects an oversight pointed out the by the anonymous referee
Databáze: OpenAIRE