133 citations · 885 across the 25 of their papers we have counts for
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Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids
A. Anokhina, A. Mironov, A. Morozov +1
Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-str…
Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation
H. Itoyama, A. Mironov, A. Morozov +1
We continue the program of systematic study of extended HOMFLY polynomials. Extended polynomials depend on infinitely many time variables, are close relatives of integrable tau-fun…
Torus HOMFLY as the Hall-Littlewood Polynomials
A. Mironov, A. Morozov, Sh. Shakirov
We show that the HOMFLY polynomials for torus knots T[m,n] in all fundamental representations are equal to the Hall-Littlewood polynomials in representation which depends on m, and…
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
H. Itoyama, A. Mironov, A. Morozov +1
Explicit answer is given for the HOMFLY polynomial of the figure eight knot in arbitrary symmetric representation R=[p]. It generalizes the old answers for p=1 and 2 and the…