Biquandle Brackets and Knotoids

Neslihan Gügümcü; Sam Nelson; Natsumi Oyamaguchi

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arXiv · 1909.00262

Biquandle Brackets and Knotoids

Neslihan Gügümcü·Sam Nelson·Natsumi Oyamaguchi

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Abstract

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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BibTeX RIS

Neslihan Gügümcü, Sam Nelson, Natsumi Oyamaguchi. 2019-08-31. Biquandle Brackets and Knotoids. https://arxiv.org/abs/1909.00262

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