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Article overview
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Refined knot invariants and Hilbert schemes | Eugene Gorsky
; Andrei Negut
; | Date: |
11 Apr 2013 | Abstract: | We consider the construction of refined Chern-Simons torus knot invariants by
M. Aganagic and S. Shakirov from the DAHA viewpoint of I. Cherednik. We prove
Cherednik’s conjecture on the stabilization of superpolynomials, and then use
the results of O. Schiffmann and E. Vasserot to relate knot invariants with the
Hilbert scheme of points on the plane. Then we use the methods of the second
author to compute these invariants explicitly in the uncolored case. We also
propose a conjecture relating these constructions to the rational Cherednik
algebra, as in the work of the first author, A. Oblomkov, J. Rasmussen and V.
Shende. | Source: | arXiv, 1304.3328 | Services: | Forum | Review | PDF | Favorites |
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