gl(2)  foams and the Khovanov homotopy type

Krushkal V, Wedrich P. gl(2)  foams and the Khovanov homotopy type. Indiana Univ. Math. J. 72 (2023), no. 2, 731-755. 2023.


The Blanchet link homology theory is an oriented model of Khovanov homology, functorial over the integers with respect to link cobordisms. We formulate a stable homotopy refinement of the Blanchet theory, based on a comparison of the Blanchet and Khovanov chain complexes associated to link diagrams. The construction of the stable homotopy type relies on the signed Burnside category approach of Sarkar-Scaduto-Stoffregen.

Last updated on 12/12/2023