Sutured annular Khovanov homology and two periodic braids

Abstract

Let $\tilde{K}$ be a two-periodic braid and let $K$ be its quotient. In this paper we show there is a spectral sequence from the next-to-top winding number grading of the sutured annular Khovanov homology of the closure of $\tilde{K}$ to the next-to-top winding number grading of the sutured annular Khovanov homology of the closure of $K$.

13 pages, 2 figures. V2: strengthened main result