Quiver moduli and quantum loop algebras
Representation Theory
2026-02-20 v2 Algebraic Geometry
Quantum Algebra
Abstract
A classic result of Hernandez-Leclerc and Kashiwara-Kim-Oh-Park relates the q-characters of so-called reachable simple modules of quantum affine algebras to the Euler characteristics of certain quiver moduli spaces. We categorify and generalize this relation to all simple modules in the Hernandez-Jimbo category O using critical K-theory (our results hold for quantum toroidal as well as quantum affine algebras)
Cite
@article{arxiv.2509.20815,
title = {Quiver moduli and quantum loop algebras},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:2509.20815},
year = {2026}
}