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Refined Chern-Simons theory and invariants of torus knots
Mathematical Physics Seminar| Speaker: | Eugene Gorsky, UC Davis, Math Dept |
| Location: | 2112 MSB |
| Start time: | Thu, Jan 28 2016, 3:10PM |
Aganagic and Shakirov proposed a deformation of the Chern-Simons theory and gave a precise mathematical construction of the refined invariants of torus knots in terms of Macdonald polynomials. We give a geometric interpretation of these invariants using the moduli space of instantons on R^4, and use it to compute the invariants explicitly. The talk is based on a joint work with Andrei Negut.