Homological thickness and stability of torus knots

DOI10.2140/agt.2007.7.261zbMath1156.57010arXivmath/0511532OpenAlexW2084005905MaRDI QIDQ2464751

Marko Stošić

Publication date: 17 December 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511532

zbMATH Keywords

stabilitythicknesstorus knotsKhovanov homology

Mathematics Subject Classification ID

Related Items (17)

Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY ⋮ Categorified Young symmetrizers and stable homology of torus links. II ⋮ Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial ⋮ Extremal Khovanov homology and the girth of a knot ⋮ The maximal degree of the Khovanov homology of a cable link ⋮ Lectures on knot homology ⋮ The cube and the Burnside category ⋮ A colored Khovanov spectrum and its tail for B-adequate links ⋮ The Hilbert scheme of a plane curve singularity and the \textsc{HOMFLY} homology of its link ⋮ Search for Torsion in Khovanov Homology ⋮ Homotopy type of circle graph complexes motivated by extreme Khovanov homology ⋮ ON CONJECTURES ABOUT POSITIVE BRAID KNOTS AND ALMOST ALTERNATING TORUS KNOTS ⋮ Khovanov homology of torus links ⋮ Arbitrarily large torsion in Khovanov cohomology ⋮ AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT ⋮ Stability and triviality of the transverse invariant from Khovanov homology ⋮ On Stable Khovanov Homology of Torus Knots

Uses Software

• Khoho
• Knot Atlas

Cites Work

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• Khovanov homology and the slice genus
• Khovanov-Rozansky homology of two-bridge knots and links
• Homfly polynomial via an invariant of colored plane graphs
• On Khovanov's categorification of the Jones polynomial
• On the Vassiliev knot invariants
• A categorification of the Jones polynomial
• CALCULATING BAR-NATAN'S CHARACTERISTIC TWO KHOVANOV HOMOLOGY
• The Superpolynomial for Knot Homologies
• A polynomial invariant for knots via von Neumann algebras
• Patterns in Knot Cohomology, I
• Torsion of Khovanov homology
• Matrix factorizations and link homology

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