On Stable -Homology of Torus Knots

DOI10.1080/10586458.2014.963746zbMath1319.57003arXiv1404.0623OpenAlexW2952129404MaRDI QIDQ5264649

Lukas Lewark, Eugene Gorsky

Publication date: 27 July 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0623

zbMATH Keywords

Koszul complextorus knotKhovanov-Rozansky homologyHeegard-Floer homology

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Syzygies, resolutions, complexes and commutative rings (13D02) Differential graded algebras and applications (associative algebraic aspects) (16E45) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

Related Items (3)

Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots? ⋮ On a Koszul complex related to the principal subspace of the basic vacuum module for \(A_1^{(1)}\) ⋮ Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Cites Work

• \(\mathfrak{sl}_3\)-foam homology calculations
• Torus knots and the rational DAHA
• A spectral sequence for Khovanov homology with an application to (3,q)-torus links
• Matrix factorizations and link homology. II.
• A categorification of the Jones polynomial
• A categorification of quantum \(\mathfrak{sl}_3\) projectors and the \(\mathfrak{sl}_3\) Reshetikhin-Turaev invariant of tangles
• On Stable Khovanov Homology of Torus Knots
• The Superpolynomial for Knot Homologies
• FAST KHOVANOV HOMOLOGY COMPUTATIONS
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• An infinite torus braid yields a categorified Jones–Wenzl projector
• Torsion of Khovanov homology
• Matrix factorizations and link homology

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