798 citations · 3.1k across the 77 of their papers we have counts for
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Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras
Edward Frenkel, Evgeny Mukhin
We study finite-dimensional representations of quantum affine algebras using q-characters. We prove the conjectures from math.QA/9810055 and derive some of their corollaries. In pa…
Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves
E. Frenkel, D. Gaitsgory, K. Vilonen
Let G be a split connected reductive group over a finite field F_q, and N its maximal unipotent subgroup. V. Drinfeld has introduced a remarkable partial compactification of the mo…
Integrable Hierarchies and Wakimoto Modules
Boris Feigin, Edward Frenkel
In our earlier papers we proposed a new approach to integrable hierarchies of soliton equations and their quantum deformations. We have applied this approach to the Toda field theo…
Spectral Curves, Opers and Integrable Systems
David Ben-Zvi, Edward Frenkel
We establish a general link between integrable systems in algebraic geometry (expressed as Jacobian flows on spectral curves) and soliton equations (expressed as evolution equation…