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Clasp technology to knot homology via the affine Grassmannian

Published 9 Jul 2012 in math.RT and math.AG | (1207.2074v3)

Abstract: 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 Kamnitzer from standard to arbitrary representations.

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