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math.RT2013
Representations of Rational Cherednik algebras with minimal support and torus knots
Pavel Etingof, Eugene Gorsky, Ivan Losev
We obtain several results about representations of rational Cherednik algebras, and discuss their applications. Our first result is the Cohen-Macaulayness property (as modules over…
math.RT2013
Refined knot invariants and Hilbert schemes
Eugene Gorsky, Andrei Neguţ
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 give a proof of Cherednik's co…