Instantons and Bar-Natan homology

Abstract

A spectral sequence is established, whose $E_2$ page is Bar-Natan's variant of Khovanov homology and which abuts to a deformation of instanton homology for knots and links. This spectral sequence arises as a specialization of a spectral sequence whose $E_2$ page is a characteristic-2 version of $F_5$ homology, in Khovanov's classification.

60 pages. This paper, together with a companion, supersedes the authors' earlier preprint "Instantons, Bar-Natan homology and some concordance invariants of knots" (arXiv:1905.00828)