167 citations · 1.9k across the 134 of their papers we have counts for
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Solutions of the qKZB Equation in Tensor Products of finite dimensional modules over the elliptic quantum group
E. Mukhin, A. Varchenko
We consider the quantized Knizhnik-Zamolodchikov-Bernard difference equation (qKZB) with step and values in a tensor product of finite dimensional evaluation modules over the e…
On algebraic equations satisfied by hypergeometric solutions of the qKZ equation
E. Mukhin, A. Varchenko
We consider the quantized Knizhnik-Zamolodchikov equation (qKZ), defined in terms of rational R-matrices. The properties of the equation change when the step of the equatio…
Quantization of the space of conformal blocks
E. Mukhin, A. Varchenko
We consider the discrete Knizhnik-Zamolodchikov connection (qKZ) associated to , defined in terms of rational R-matrices. We prove that under certain resonance conditions, t…
The Determinant of a Hypergeometric Period Matrix
Y. Markov, V. Tarasov, A. Varchenko
We consider a function on a real affine space, here are linear functions, complex numbers. The zeros of the functions $f…
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
Pavel Etingof, Alexander Varchenko
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Baxter (QYB) equation introduced by Gervais, Neveu, and Felder. The QDYB equation a…
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations
Giovanni Felder, Vitaly Tarasov, Alexander Varchenko
The elliptic quantum Knizhnik-Zamolodchikov-Bernard (qKZB) difference equations associated to the elliptic quantum group is a system of difference equations with va…