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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…
math.RT2013
Quantum toroidal and shuffle algebras
Andrei Neguţ
In this paper, we prove that the quantum toroidal algebra of gl_n is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra view…