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Clasp technology to knot homology via the affine Grassmannian

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arxiv 1207.2074 v3 pith:5I4F2OHM submitted 2012-07-09 math.RT math.AG

Sabin Cautis This is my paper · ORCID
classification math.RTmath.AG
keywords affinegrassmannianapplyingarbitrarycategorificationcategorifycertainclasp
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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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  1. Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic

    math.GT 2024-12 conditional novelty 6.0 of 10

    A p-differential algebra argument reproves base point independence for characteristic-p Khovanov-Rozansky homology and yields new sl2-symmetry consequences for link homology.

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