Research ArticleNo Access

Categorifying biquandle brackets

Adu Vengal

The Ohio State University, Columbus, Ohio, USA

E-mail Address: vengal.8@osu.edu

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and

Vilas Winstein

https://orcid.org/0000-0001-7486-4184

The Ohio State University, Columbus, Ohio, USA

E-mail Address: winstein.1@osu.edu

Corresponding author.

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https://doi.org/10.1142/S0218216522500523Cited by:0 (Source: Crossref)

Abstract

The Biquandle Bracket is a generalization of the Jones Polynomial. In this paper, we outline a Khovanov Homology-style construction which generalizes Khovanov Homology and attempts to categorify the Biquandle Bracket. The Biquandle Bracket is not always recoverable from our construction, so this is not a true categorification. However, this deficiency leads to a new invariant: a canonical biquandle 2-cocycle associated to a biquandle bracket.

Keywords:

AMSC: 57K18

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