Quantum K-theory of Quiver Varieties and Many-Body Systems
Algebraic Geometry
2021-09-28 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Abstract
We define quantum equivariant K-theory of Nakajima quiver varieties. We discuss type A in detail as well as its connections with quantum XXZ spin chains and trigonometric Ruijsenaars-Schneider models. Finally we study a limit which produces a K-theoretic version of results of Givental and Kim, connecting quantum geometry of flag varieties and Toda lattice.
Keywords
Cite
@article{arxiv.1705.10419,
title = {Quantum K-theory of Quiver Varieties and Many-Body Systems},
author = {Peter Koroteev and Petr P. Pushkar and Andrey Smirnov and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:1705.10419},
year = {2021}
}
Comments
v5: 34 pages, published version