To a link L in the 3-sphere, we associate a spectral sequence whose E^2 page
is the reduced Khovanov homology of L and which converges to a version of the
monopole Floer homology of the branched double cover. The pages E^k for k>1
depend only on the mutation equivalence class of L. We define a mod two grading
on the spectral sequence which interpolates between the delta grading on
Khovanov homology and the mod two grading on monopole Floer homology.

More generally, we construct new invariants of a framed link in a 3-manifold
as the pages of a spectral sequence modeled on the surgery exact triangle. The
differentials count Seiberg-Witten monopoles over families of metrics
parameterized by permutohedra.