On the quantum filtration of the universal sl(2) foam cohomology

Abstract

We investigate the filtered theory corresponding to the universal sl(2) foam cohomology $H_{a,h}$ for links, where a and h are complex numbers. We show that there is a spectral sequence converging to $H_{a,h}$ which is invariant under the Reidemeister moves, and whose E1 term is isomorphic to Khovanov homology. This spectral sequence can be used to obtain from the foam perspective an analogue of the Rasmussen invariant and a lower bound for the slice genus of a knot.

10 pages, many figures; typos corrected and some changes made in the exposition at referee's suggestions

References in corpus (4)

• Khovanov's homology for tangles and cobordisms
• A slice genus lower bound from sl(n) Khovanov-Rozansky homology
• The universal sl(2) cohomology via webs and foams
• On the sl(2) foam cohomology computations

Cited by in corpus (1)

• On Khovanov Homology and Related Invariants