# Torus knots and the rational DAHA

@article{Gorsky2014TorusKA,
title={Torus knots and the rational DAHA},
author={Eugene Gorsky and Alexei Oblomkov and Jacob Rasmussen and Vivek V. Shende},
journal={Duke Mathematical Journal},
year={2014},
volume={163},
pages={2709-2794}
}
• E. Gorsky, +1 author V. Shende
• Published 18 July 2012
• Mathematics, Physics
• Duke Mathematical Journal
Author(s): Gorsky, E; Oblomkov, A; Rasmussen, J; Shende, V | Abstract: © 2014. We conjecturally extract the triply graded Khovanov-Rozansky homology of the (m;n) torus knot from the unique finite-dimensional simple representation of the rational DAHA of type A, rank n - 1, and central character m/n. The conjectural differentials of Gukov, Dunfield, and the third author receive an explicit algebraic expression in this picture, yielding a prescription for the doubly graded Khovanov-Rozansky… Expand
105 Citations

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