A spectral sequence for Khovanov homology with an application to (3,q)-torus links

Abstract

A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3,q)-torus links.

12 pages, 12 figures

References in corpus (2)

• Khovanov's homology for tangles and cobordisms
• On Khovanov's categorification of the Jones polynomial

Cited by in corpus (17)

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• Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial
• Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials
• The pillowcase and perturbations of traceless representations of knot groups
• A link surgery spectral sequence in monopole Floer homology
• On stable sl3-homology of torus knots
• On stable Khovanov homology of torus knots
• Alternating numbers of torus knots with small braid index
• The maximal degree of the Khovanov homology of a cable link
• A family of ${\mathfrak{sl}}_n$-like invariants in knot Floer homology
• Equivariant Khovanov Homology of Periodic Links
• Torsion in thin regions of Khovanov homology
• The Khovanov width of twisted links and closed 3-braids
• Lee filtration structure of torus links
• A survey on the Turaev genus of knots