Abstracts for Working group on odd Khovanov homology

This talk is the first part of a series on constructing stable homotopy types associated with odd Khovanov homology. We will describe how odd Khovanov homology can be realized as a 2-functor from the cube category to the signed Burnside category, and how this 2-functor can be used to define a stable homotopy type corresponding to odd Khovanov homology.

This is the third talk in the series on constructing stable homotopy types associated with odd Khovanov homology. In this talk, we will show how the Steenrod square–like operations defined in the second talk can be realized as genuine Steenrod squares arising from the stable homotopy type constructed in the first talk.

In this talk, I will explain how to construct odd Khovanov homology via a certain "extended-TQFT-like" construction, using defects and super structures. This gives a novel viewpoint on odd Khovanov homology, and an extension to tangles.