JOURNAL ARTICLE

Biquandle bracket quivers.

  • Published In: Journal of Knot Theory & Its Ramifications, 2026, v. 35, n. 2. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Falkenburg, Pia Cosma; Nelson, Sam 3 of 3

Abstract

Biquandle brackets define invariants of classical and virtual knots and links using skein invariants of biquandle-colored knots and links. Biquandle coloring quivers categorify the biquandle counting invariant in the sense of defining quiver-valued enhancements which decategorify to the counting invariant. In this paper, we unite the two ideas to define biquandle bracket quivers, providing new categorifications of biquandle brackets. In particular, our construction provides an infinite family of categorifications of the Jones polynomial and other classical skein invariants. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Knot Theory & Its Ramifications. 2026/02, Vol. 35, Issue 2, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:0218-2165
  • DOI:10.1142/S0218216523400205
  • Accession Number:191080961
  • Copyright Statement:Copyright of Journal of Knot Theory & Its Ramifications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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