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CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION

CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION

We continue the program of systematic study of extended HOMFLY polynomials, suggested in [A. Mironov, A. Morozov and And. Morozov, arXiv:1112.5754] and [A. Mironov, A. Morozov and And. Morozov, J. High Energy Phys. 03, 034 (2012), arXiv:1112.2654]. Extended polynomials depend on infinitely many time-variables, are close relatives of integrable τ-functions, …