arXiv:math/0402131 Abstract

arXiv:math/0402131 [math.GT]Abstract References Reviews Resources

Khovanov homology and the slice genus

Published 2004-02-09Version 1

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 slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture.

Comments: 20 pages, 8 figures

Categories: math.GT, math.QA

Subjects: 57M27, 57R56

Keywords: slice genus, khovanov homology, knot invariant, milnor conjecture, lees work

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