• Title/Summary/Keyword: Skew braces

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SKEW BRACE ENHANCEMENTS AND VIRTUAL LINKS

  • Melody Chang;Sam Nelson
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.247-257
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    • 2024
  • 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.