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

Turner, Paul

doi:10.2140/agt.2008.8.869

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

Paul Turner

Algebraic & Geometric Topology 8 (2008) 869–884

DOI: 10.2140/agt.2008.8.869

Abstract

We extend the skein exact sequence of Khovanov homology to a spectral sequence which converges to Khovanov homology. We apply this to calculate the rational Khovanov homology of three-stranded torus links.

Keywords

Khovanov homology, spectral sequence, torus link, torus knot

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 57M27, 55T99

References

Publication

Received: 6 November 2007

Accepted: 5 March 2008

Published: 2 June 2008

Authors

Paul Turner
Maxwell Institute for Mathematical Sciences Heriot-Watt University Edinburgh EH14 4AS Scotland United Kingdom

Volume 8, issue 2 (2008)