Khovanov homology and the slice genus

Details Khovanov homology and the slice genus Khovanov homology and the slice genus

2004-02-09

arxiv.org/abs/math/0402131v1

Mathematics

Geometric Topology

20 pages, 8 figures

Scientific paper

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.

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