gl(2) foams and the Khovanov homotopy type

Abstract

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.

23 pages

References in corpus (2)

• The ${\mathfrak{sl}}_n$ foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
• Fixing the functoriality of Khovanov homology: a simple approach

Cited by in corpus (1)

• Homotopy functoriality for Khovanov spectra