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Morozov, A. Yu
Theoretical and mathematical physics, 04/2016, Letnik: 187, Številka: 1Journal Article
We suggest using the Hall–Littlewood version of the Rosso–Jones formula to define the germs of p-adic HOMFLY-PT polynomials for torus knots m , n as coefficients of superpolynomials in a q-expansion. In this form, they have at least the m , n ↔ n , m topological invariance. This opens a new possibility to interpret superpolynomials as p-adic deformations of HOMFLY polynomials and poses a question of generalizing to other knot families, which is a substantial problem for several branches of modern theory.
