DAHA-Jones polynomials of torus knots
The paper under review studies DAHA-Jones polynomials of torus knots for reduces root systems and in the case of \(C^\vee C_1\). The main results of the paper establish the polynomiality conjecture and the evaluation conjecture from a previous work by the author and extend the theory by studying the color exchange symmetry. The DAHA-Jones polynomials in the case \(C^\vee C_1\) are related to DAHA superpolynomials of type \(A\). A connection of DAHA superpolynomials to Kohavonov-Rozansky homology and superpolynomials defined via rational DAHA is discussed. Also, a connection to the absolute Galois group is investigated.
scientific article; zbMATH DE number 6568893
scientific article