Clasp technology to knot homology via the affine Grassmannian

摘要

We categorify all the Reshetikhin-Turaev tangle invariants of type A. Ourmain tool is a categorification of the generalized Jones-Wenzl projectors(a.k.a. clasps) as infinite twists. Applying this to certain convolutionproduct varieties on the affine Grassmannian we extend our earlier work withKamnitzer from standard to arbitrary representations.