Clasp technology to knot homology via the affine Grassmannian

2012/07/09 by Cautis, Sabin · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1207.2074

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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• The minimal Rickard complexes of braids on two strands
• Colored knot Floer homology: structures and examples
• Stable deformed \mathfrakgl_N homology of torus knots

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