The talk will be an introduction to the new theory of the refined Jones and Quantum Group invariants of torus knots based on double affine Hecke algebras. This approach provides formulas (though mainly conjectural) for Poincare polynomials of stable Khovanov-Rozansky homology, also called super-polynomials, related to the BPS states from String theory. Khovanov-Rozansky theory will be touched upon only a little
- Géométrie et Quantification