Khovanov homotopy type, Steenrod squares, and new s-invariants

Khovanov homotopy type, Steenrod squares, and new s-invariants

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Sucharit Sarkar, Princeton University
Fine Hall 314

I will briefly discuss how we can extend the Khovanov homology link invariant to a stable homotopy type. We use the Pontryagin-Thom construction packaged as a framed flow category. I will then talk about how to compute some induced algebraic structures, like Steenrod squares, on Khovanov homology, and how those can be used to refine Rasmussen's s-invariant to a stronger concordance invariant. This is joint work with Robert Lipshitz.