167 citations · 1.9k across the 134 of their papers we have counts for
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On the number of populations of critical points of master functions
Evgeny Mukhin, Alexander Varchenko
We consider the master functions associated with one irreducible integrable highest weight representation of a Kac-Moody algebra. We study the generation procedure of new critical…
Critical points of master functions and the mKdV hierarchy of type A^2_2
A. Varchenko, T. Woodruff, D. Wright
We consider the population of critical points generated from the critical point of the master function with no variables, which is associated with the trivial representation of the…
Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)
E. Mukhin, V. Tarasov, A. Varchenko
We consider a tensor product $V(b)= \otimes_{i=1}^n\C^N(b_i)$ of the Yangian evaluation vector representations. We consider the action of the commutative Bethe subalgebra…
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
V. Tarasov, A. Varchenko
We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a gl_n partial flag variety. These hypergeometric solutions manifest the Landau…
Partial flag varieties, stable envelopes and weight functions
R. Rimanyi, V. Tarasov, A. Varchenko
We consider the cotangent bundle T^*F_λof a GL_n partial flag variety, λ= (λ_1,...,λ_N), |λ|=\sum_iλ_i=n, and the torus T=(C^*)^{n+1} equivariant cohomology H^*_T(T^*F_λ). In [MO],…