The second Yang–Baxter homology for the HOMFLYPT polynomial

DOI10.1142/S0218216521410145zbMath1490.57011arXiv2004.07413MaRDI QIDQ5067068

Xiao Wang, Józef H. Przytycki

Publication date: 31 March 2022

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

Full work available at URL: https://arxiv.org/abs/2004.07413

zbMATH Keywords

Yang-Baxter equationquandleJones polynomialrackHOMFLYPT polynomialknots and links\(2\)-cocycles

Mathematics Subject Classification ID

Yang-Baxter equations (16T25) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (1)

Deformations of Yang-Baxter operators via \(n\)-Lie algebra cohomology

Cites Work

• Unnamed Item
• On homotopy groups of quandle spaces and the quandle homotopy invariant of links
• On knot invariants related to some statistical mechanical models
• Hecke algebra representations of braid groups and link polynomials
• The Yang-Baxter equation and invariants of links
• Quandle homotopy invariants of knotted surfaces
• Skein theoretic approach to Yang-Baxter homology
• Homologies of algebraic structures via braidings and quantum shuffles
• Partition function of the eight-vertex lattice model
• Augmented biracks and their homology
• Extended quandle spaces and shadow homotopy invariants of classical links
• A new polynomial invariant of knots and links
• Invariants of links of Conway type
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Equivalence of two definitions of set-theoretic Yang–Baxter homology and general Yang–Baxter homology
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• Knots and Distributive Homology: From Arc Colorings to Yang–Baxter Homology
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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