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Quantum K-theory of Quiver Varieties and Many-Body Systems (1705.10419v5)
Published 30 May 2017 in math.AG, hep-th, math-ph, math.MP, and math.RT
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.