Higher Steenrod squares for Khovanov homology

Abstract

We describe stable cup-i products on the cochain complex with F2 coefficients of any augmented semi-simplicial object in the Burnside category. An example of such an object is the Khovanov functor of Lawson, Lipshitz and Sarkar. Thus we obtain explicit formulas for cohomology operations on the Khovanov homology of any link.

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