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We construct an action of a polynomial ring on the colored sl(2) linkhomology of Cooper-Krushkal, over which this homology is finitely generated. Wedefine a new, related link homology which is finite dimensional, extends totangles, and categorifies a scalar-multiple of the sl(2) Reshetikhin-Turaevinvariant. We expect this homology to be functorial under 4-dimensionalcobordisms. The polynomial action is related to a conjecture ofGorsky-Oblomkov-Rasmussen-Shende on the stable Khovanov homology of torusknots, and as an application we obtain a weak version of this conjecture. A keynew ingredient is the construction of a bounded chain complex whichcategorifies a scalar multiple of the Jones-Wenzl projector, in which thedenominators have been cleared.

A polynomial action on colored sl(2) link homology