Clasp technology to knot homology via the affine Grassmannian
Representation Theory
2014-09-04 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1207.2074,
title = {Clasp technology to knot homology via the affine Grassmannian},
author = {Sabin Cautis},
journal= {arXiv preprint arXiv:1207.2074},
year = {2014}
}
Comments
46 pages. Shortened exposition and simplified some arguments