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arXiv · 1705.10419

Quantum K-theory of Quiver Varieties and Many-Body Systems

Peter Koroteev·Petr P. Pushkar·Andrey Smirnov·Anton M. Zeitlin
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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.

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Peter Koroteev, Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin. 2017-05-30. Quantum K-theory of Quiver Varieties and Many-Body Systems. https://doi.org/10.1007/s00029-021-00698-3

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