Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SKEW BRACE ENHANCEMENTS AND VIRTUAL LINKS

  • Melody Chang (Department of Mathematical Sciences Claremont McKenna College) ;
  • Sam Nelson (Department of Mathematical Sciences Claremont McKenna College)
  • Received : 2023.02.07
  • Accepted : 2023.09.13
  • Published : 2024.01.31
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Abstract

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.

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References

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