The 1,2-coloured HOMFLY-PT link homology

DOI10.1090/S0002-9947-2010-05155-4zbMath1242.18016arXiv0809.0193MaRDI QIDQ2997229

Marco Mackaay, Marko Stošić, Pedro Vaz

Publication date: 6 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0193

zbMATH Keywords

Hochschild homologyHOMFLY-PT polynomial\(1,2\)-coloured \(sl(N)\) link homologiesEuler characteristic of the triply graded link homologyHOMFLY-PT triply graded link homologyKhovanov's construction of HOMFLY-PT link homologymatrix factorization approach

Mathematics Subject Classification ID

Related Items (16)

A geometric construction of colored HOMFLYPT homology ⋮ Khovanov-Rozansky homology and directed cycles ⋮ Remarks on coloured triply graded link invariants ⋮ Symmetric Khovanov-Rozansky link homologies ⋮ A diagrammatic categorification of the \(q\)-Schur algebra ⋮ Lectures on knot homology ⋮ Refined large N duality for knots ⋮ The geometry of Markov traces. ⋮ 2-Verma modules and the Khovanov-Rozansky link homologies ⋮ Knot invariants and higher representation theory ⋮ Diagrammatics for Soergel categories ⋮ Colored Khovanov-Rozansky homology for infinite braids ⋮ HOMFLYPT homology for links in handlebodies via type \textsf{A} Soergel bimodules ⋮ Exponential growth of colored HOMFLY-PT homology ⋮ Quantum (sl_n, ∧V _n) link invariant and matrix factorizations ⋮ Twist Knot Invariants and Volume Conjecture

Cites Work

• Unnamed Item
• Link homologies and the refined topological vertex
• Some differentials on Khovanov-Rozansky homology
• A geometric model for Hochschild homology of Soergel bimodules.
• Matrix factorizations and link homology. II.
• Homfly polynomial via an invariant of colored plane graphs
• A geometric construction of colored HOMFLYPT homology
• TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES
• Algebras of Derived Dimension Zero
• Matrix factorizations and link homology
• Algebraic \(K\)-theory

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