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Quantum Enhancements via Tribracket Brackets

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arxiv 1907.03011 v3 pith:3YZKB3LV submitted 2019-07-05 math.GT math.QA

Laira Aggarwal , Sam Nelson , Patricia Rivera This is my paper · ORCID
classification math.GTmath.QA
keywords invariantstribracketbracketsquantumwellanalogouslybiquandlecases
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We enhance the tribracket counting invariant with \textit{tribracket brackets}, skein invariants of tribracket-colored oriented knots and links analogously to biquandle brackets. This infinite family of invariants includes the classical quantum invariants and tribracket cocycle invariants as special cases, as well as new invariants. We provide explicit examples as well as questions for future work.

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  1. Psyquandle Brackets

    math.GT 2025-08 conditional novelty 6.0 of 10

    Psyquandle brackets are new state-sum invariants for singular knots and pseudoknots, built from a four-map skein algebra on psyquandle colorings.

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