Khovanov homology and the slice genus

被引：0

作者：

Jacob Rasmussen

机构：

[1] Princeton University,Dept. of Mathematics

[2] University of Cambridge,DPMMS

来源：

Inventiones mathematicae | 2010年 / 182卷

关键词：

Spectral Sequence; Short Exact Sequence; Jones Polynomial; Planar Diagram; Floer Homology;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：419 / 447

页数：28

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