Graph explorer

Skew Brace Enhancements

We use the structure of skew braces to enhance the biquandle counting invariant for virtual knots and links for finite biquandles defined from skew braces. We introduce two new invariants: a single-variable polynomial using skew brace ideals and a two-variable polynomial using the skew brace group structures. We provide examples to show that the new invariants are not determined by the counting invariant and hence are proper enhancements.

5 nodes4 linksoverview previewSkew Brace Enhancements
5 nodes4 links
Skew Brace Enhancements5 visible / 5 total nodes / 5 links
Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWSkew Brace Enhancementspreprint / 2022AMelody ChangResearcherASam NelsonResearcherTmath.GT2393 worksTmath.QA1454 works
PaperSignal 104 links

Skew Brace Enhancements

preprint / 2022

Open