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math.GTJun 15, 2006
46
citations (OpenAlex)
authors
  • Paul Turner
institutions
  • Heriot-Watt University
  • Maxwell Institute for Mathematical Sciences
arXiv abstractPDF
paper

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

arXiv:math/0606369 · doi:10.2140/agt.2008.8.869

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

Cited by in corpus (17)

  • Torus knots and the rational DAHA
  • 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 sln​-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
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