1 citations · 1 across the 1 of their papers we have counts for
3 papers
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.QA2015
Refined composite invariants of torus knots via DAHA
Ivan Cherednik, Ross Elliot
We define composite DAHA-superpolynomials of torus knots, depending on pairs of Young diagrams and generalizing the composite HOMFLY-PT polynomials in the theory of the skein of th…
math.AT2009★ 1 cited
Alexander Polynomials of Periodic Knots: A Homological Proof and Twisted Extension
Ross Elliot
In 1971, Kunio Murasugi proved a necessary condition on a knot's Alexander polynomial for that knot to be periodic of prime power order. In this paper I present an alternate proof…