Quantum enhancements and biquandle brackets

DOI10.1142/S0218216517500341zbMath1396.57023arXiv1508.06573OpenAlexW2964067845MaRDI QIDQ5269132

Veronica Rivera, Sam Nelson, Michael E. Orrison

Publication date: 15 June 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06573

zbMATH Keywords

quantum invariantsbiquandlesbiquandle bracketsquantum enhancements of counting invariants

Mathematics Subject Classification ID

Related Items (13)

Psybrackets, pseudoknots and singular knots ⋮ Categorifying biquandle brackets ⋮ Psyquandles, singular knots and pseudoknots ⋮ Picture-valued parity-biquandle bracket ⋮ Trace diagrams and biquandle brackets ⋮ The structure of biquandle brackets ⋮ Biquandle coloring invariants of knotoids ⋮ Kaestner brackets ⋮ Quantum enhancements via tribracket brackets ⋮ Biquandle virtual brackets ⋮ The topological biquandle of a link ⋮ Cocycle enhancements of psyquandle counting invariants ⋮ Biquandle brackets and knotoids

Uses Software

• Knot Atlas

Cites Work

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• BIRACK MODULES AND THEIR LINK INVARIANTS
• THE COLUMN GROUP AND ITS LINK INVARIANTS
• Augmented biracks and their homology
• Quantum enhancements of involutory birack counting invariants
• Links, quantum groups and TQFTs
• QUANDLE KNOT INVARIANTS ARE QUANTUM KNOT INVARIANTS
• State-sum invariants of knotted curves and surfaces from quandle cohomology
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• BIQUANDLES FOR VIRTUAL KNOTS

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