Biquandle Arrow Weight Enhacements

Sam Nelson; Migiwa Sakurai

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arXiv · 2211.12606

Biquandle Arrow Weight Enhacements

Sam Nelson·Migiwa Sakurai

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Abstract

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.

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Sam Nelson, Migiwa Sakurai. 2022-11-22. Biquandle Arrow Weight Enhacements. https://arxiv.org/abs/2211.12606

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