A Steenrod square on Khovanov homology

作者:Lipshitz Robert*; Sarkar Sucharit
来源:Journal of Topology, 2014, 7(3): 817-848.
DOI:10.1112/jtopol/jtu005

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.

  • 出版日期2014-9