Homotopy functoriality for Khovanov spectra

Abstract

We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.

45 pages, 6 figures. V2: add discussion of neck cutting and ribbon concordances. V3: minor revisions. Accepted for publication in the Journal of Topology

References in corpus (4)

• Computations of the Lipshitz-Sarkar Steenrod Square on Khovanov Homology
• Khovanov's invariant for closed surfaces
• Relative Khovanov-Jacobsson classes
• gl(2) foams and the Khovanov homotopy type

Cited by in corpus (1)

• Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras