Skew Brace Enhancements

Melody Chang; Sam Nelson

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Skew Brace Enhancements

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arxiv 2107.05696 v3 pith:JU6WEE2G submitted 2021-07-12 math.GT math.QA

Skew Brace Enhancements

Melody Chang , Sam Nelson This is my paper

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keywords skewbracebracescountingenhancementsinvariantinvariantspolynomial

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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.

Skew Brace Enhancements

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