A Steenrod square on Khovanov homology

被引：27
|
作者：
Lipshitz, Robert [1 ]
Sarkar, Sucharit [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
JOURNAL OF TOPOLOGY | 2014年 / 7卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1112/jtopol/jtu005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a previous paper, we defined a space-level version chi(Kh)(L) of Khovanov homology. This induces an action of the Steenrod algebra on Khovanov homology. In this paper, we describe the first interesting operation, Sq(2) : Kh(i,j) (L). Kh(i+2,j) (L). We compute this operation for all links up to 11 crossings; this, in turn, determines the stable homotopy type of chi(Kh)(L) for all such links.
引用
收藏
页码：817 / 848
页数：32
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