167 citations · 1.9k across the 134 of their papers we have counts for
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math.QA1998
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…
math.QA1998★ 14 cited
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…
math.QA1998★ 100 cited
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…