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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 Kamnitzer from standard to arbitrary representations.

preprint2014arXivOpen access
Sabin Cautis
math.RTmath.AG
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Sabin Cautis

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