Quantum Topology Seminar
Eiji Ogasa
Meijigakuin University, Computer Science, Japan
An elementary introduction to Khovanov-Lipshitz-Sarkar stable homotopy type
Abstract: I will give an elementary introduction to
Khovanov-Lipshitz-Sarkar stable homotopy type.
The graded cohomology of Khovanov-Lipshitz-Sarkar stable homotopy type for a link is Khovanov homology of the link. Khovanov-Lipshitz-Sarkar stable homotopy type is stronger than Khovanov homology as link invariants.
I will explain an outline of the idea of
Khovanov-Lipshitz-Sarkar stable homotopy type mainly.
Khovanov-Lipshitz-Sarkar stable homotopy type is generalized by Kauffman-Ogasa, and by
Kauffman-Nikonov-Ogasa.
Kauffman-Nikonov-Ogasa: Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces arxiv2007.09241[math.GT]
Kauffman-Ogasa: Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links
arXiv:2001.07789[math.GT]
Thursday March 18, 2021 at 4:00 PM in Zoom