167 citations · 1.9k across the 134 of their papers we have counts for
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Remarks on critical points of phase functions and norms of Bethe vectors
Evgeny Mukhin, Alexander Varchenko
We consider a tensor product of a Verma module and the linear representation of . We prove that the corresponding phase function, which is used in the solutions of the KZ…
Functorial properties of the hypergeometric map
E. Mukhin, A. Varchenko
The quantized Knizhnik-Zamolodchikov equation is a difference equation defined in terms of rational matrices. We describe all singularities of hypergeometric solutions to the q…
The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation
Giovanni Felder, Alexander Varchenko
We introduce a q-deformation of the genus one sl_2 Knizhnik-Zamolodchikov-Bernard heat equation. We show that this equation for the dependence on the moduli of elliptic curves is c…
Exchange dynamical quantum groups
Pavel Etingof, Alexander Varchenko
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation…