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

• Peter Koroteev ^[1] ; Petr P. Pushkar ^[2] ; Andrey V. Smirnov ^[3] ; Anton M. Zeitlin ^[4]
  1. [1] University of California System

     University of California System

     Estados Unidos

     
  2. [2] Institute of Science and Technology, Klosterneuburg, Austria
  3. [3] University of North Carolina, USA; Institute for Problems of Information Transmission, Rusia
  4. [4] Louisiana State University, USA; IPME RAS, Rusia

  Mostrar afiliaciones +
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 5, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00698-3
• Enlaces
  • Texto completo
• Resumen

  • 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.