798 citations · 3.1k across the 77 of their papers we have counts for
5 papers · 1 filter
Soliton equations, vertex operators, and simple singularities
E. Frenkel, A. Givental, T. Milanov
We prove the equivalence of two hierarchies of soliton equations associated to a simply-laced finite Dynkin diagram. The first was defined by Kac and Wakimoto using the principal r…
Gauge Theory and Langlands Duality
Edward Frenkel
The Langlands Program was launched in the late 60s with the goal of relating Galois representations and automorphic forms. In recent years a geometric version has been developed wh…
Gromov-Witten Gauge Theory I
Edward Frenkel, Constantin Teleman, A. J. Tolland
We introduce a geometric completion of the stack of maps from stable marked curves to the quotient stack [point/GL(1)], and use it to construct some gauge-theoretic analogues of th…
Langlands duality for finite-dimensional representations of quantum affine algebras
Edward Frenkel, David Hernandez
We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of q-alg/9…
A rigid irregular connection on the projective line
Edward Frenkel, Benedict Gross
In this paper we construct a connection on the trivial G-bundle on the projective line for any simple complex algebraic group G, which is regular outside of the points 0 and infini…