Are there p-adic knot invariants?
Abstract
We suggest to use the Hall-Littlewood version of Rosso-Jones formula to define the germs of p-adic HOMFLY-PT polynomials for torus knots [m,n], which possess at least the [m,n] [n,m] topological invariance. This calls for generalizations to other knot families and is a challenge for several branches of modern theory.
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