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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