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- Title
Are there p-adic knot invariants?
- Authors
Morozov, A.
- Abstract
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.
- Subjects
KNOT invariants; P-adic fields; POLYNOMIALS; COEFFICIENTS (Statistics); TOPOLOGICAL property; MATHEMATICAL expansion
- Publication
Theoretical & Mathematical Physics, 2016, Vol 187, Issue 1, p447
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577916040012