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…
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
A. Mironov, A. Morozov, An. Morozov
Character expansion is introduced and explicitly constructed for the (non-colored) HOMFLY polynomials of the simplest knots. Expansion coefficients are not the knot invariants and…