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math.QA2015
Exceptional knot homology
Ross Elliot, Sergei Gukov
The goal of this article is twofold. First, we find a natural home for the double affine Hecke algebras (DAHA) in the physics of BPS states. Second, we introduce new invariants of…
math.QA2013★ 14 cited
Quadruply-graded colored homology of knots
Eugene Gorsky, Sergei Gukov, Marko Stosic
We conjecture the existence of four independent gradings in the colored HOMFLY homology. We describe these gradings explicitly for the rectangular colored homology of torus knots a…