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Resumen de Quantum K-theory of quiver varieties and many-body systems

Peter Koroteev, Petr P. Pushkar, Andrey V. Smirnov, Anton M. Zeitlin

  • 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.


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