138 citations · 1.8k across the 53 of their papers we have counts for
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Colored knot amplitudes and Hall-Littlewood polynomials
Sh. Shakirov
The amplitudes of refined Chern-Simons (CS) theory, colored by antisymmetric (or symmetric) representations, conjecturally generate the Lambda^r- (or S^r-) colored triply graded ho…
Beta Deformation and Superpolynomials of (n,m) Torus Knots
Shamil Shakirov
Recent studies in several interrelated areas -- from combinatorics and representation theory in mathematics to quantum field theory and topological string theory in physics -- have…
New and Old Results in Resultant Theory
A. Morozov, Sh. Shakirov
Resultants are getting increasingly important in modern theoretical physics: they appear whenever one deals with non-linear (polynomial) equations, with non-quadratic forms or with…
Introduction to Integral Discriminants
A. Morozov, Sh. Shakirov
The simplest partition function, associated with homogeneous symmetric forms S of degree r in n variables, is integral discriminant J_{n|r}(S) = \int e^{-S(x_1 ... x_n)} dx_1 ... d…
Analogue of the identity Log Det = Trace Log for resultants
A. Morozov, Sh. Shakirov
Resultant defines a condition of solvability for a system of homogeneous polynomials of degrees in variables, just in the same way as de…