For a –periodic link in the thickened annulus and its quotient link , we exhibit a spectral sequence with
This spectral sequence splits along quantum and weight-space gradings, proving a rank inequality for every pair of quantum and weight-space gradings . We also present a few decategorified consequences and discuss partial results toward a similar statement for the Khovanov homology of –periodic links, as well as some frameworks for obstructing –periodicity in links.
"A rank inequality for the annular Khovanov homology of $2$–periodic links." Algebr. Geom. Topol. 18 (2) 1147 - 1194, 2018. https://doi.org/10.2140/agt.2018.18.1147