Khovanov homology and the slice genus
Geometric Topology
2007-05-23 v1 Quantum Algebra
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 slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture.
Keywords
Cite
@article{arxiv.math/0402131,
title = {Khovanov homology and the slice genus},
author = {Jacob A. Rasmussen},
journal= {arXiv preprint arXiv:math/0402131},
year = {2007}
}
Comments
20 pages, 8 figures