Khovanov homology of a unicolored B-adequate link has a tail

Abstract

C. Armond [3] and S. Garoufalidis and T. Le [6] have shown that a unicolored Jones polynomial of a B-adequate link has a stable tail at large colors. We categorify this tail by showing that Khovanov homology of a unicolored link also has a stable tail, whose graded Euler characteristic coincides with the tail of the Jones polynomial.