Clasp technology to knot homology via the affine Grassmannian
We categorify all the Reshetikhin–Turaev tangle invariants of type A. Our main tool is a categorification of the generalized Jones–Wenzl projectors (a.k.a. clasps) as infinite twists. Applying this to certain convolution product varieties on the affine Grassmannian we extend our earlier work with Cautis and Kamnitzer (Duke Math J 142:511–588, 2008; Invent Math 174:165–232, 2008) from standard to arbitrary representations.