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Inventiones mathematicae

, Volume 182, Issue 2, pp 419–447 | Cite as

Khovanov homology and the slice genus

  • Jacob Rasmussen
Article

Abstract

We use Lee’s work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the smooth slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture.

Keywords

Spectral Sequence Short Exact Sequence Jones Polynomial Planar Diagram Floer Homology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Dept. of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.DPMMSUniversity of CambridgeCambridgeUK

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