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Biquandle Brackets and Knotoids

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arxiv 1909.00262 v1 pith:4KL26437 submitted 2019-08-31 math.GT math.QA

Biquandle Brackets and Knotoids

classification math.GT math.QA
keywords biquandlebracketscountingdefinedinvariantarxivauthorscalcuation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Biquandle brackets are a type of quantum enhancement of the biquandle counting invariant for oriented knots and links, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this paper we use biquandle brackets to enhance the biquandle counting matrix invariant defined by the first two authors in arXiv:1803.11308. We provide examples to illustrate the method of calcuation and to show that the new invariants are stronger than the previous ones.

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