English

Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links

Geometric Topology 2022-08-22 v5

Abstract

We define a second Steenrod square for virtual links, which is stronger than Khovanov homology for virtual links, toward constructing Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links. This induces the first meaningful nontrivial example of the second Steenrod square operator on the Khovanov homology for links in a 3-manifold other than the 3-sphere.

Keywords

Cite

@article{arxiv.2001.07789,
  title  = {Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links},
  author = {Louis H. Kauffman and Eiji Ogasa},
  journal= {arXiv preprint arXiv:2001.07789},
  year   = {2022}
}

Comments

83 pages, many figures