{"publication":"Selecta Mathematica","day":"30","publication_status":"published","date_published":"2021-08-30T00:00:00Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"external_id":{"isi":["000692795200001"]},"volume":27,"_id":"9998","doi":"10.1007/s00029-021-00698-3","author":[{"first_name":"Peter","last_name":"Koroteev","full_name":"Koroteev, Peter"},{"id":"151DCEB6-9EC3-11E9-8480-ABECE5697425","full_name":"Pushkar, Petr","last_name":"Pushkar","first_name":"Petr"},{"full_name":"Smirnov, Andrey V.","last_name":"Smirnov","first_name":"Andrey V."},{"last_name":"Zeitlin","full_name":"Zeitlin, Anton M.","first_name":"Anton M."}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"        27","license":"https://creativecommons.org/licenses/by/4.0/","file":[{"content_type":"application/pdf","creator":"cchlebak","date_updated":"2021-09-13T11:31:34Z","file_size":584648,"relation":"main_file","access_level":"open_access","file_name":"2021_SelectaMath_Koroteev.pdf","checksum":"beadc5a722ffb48190e1e63ee2dbfee5","file_id":"10010","date_created":"2021-09-13T11:31:34Z","success":1}],"file_date_updated":"2021-09-13T11:31:34Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","type":"journal_article","citation":{"ama":"Koroteev P, Pushkar P, Smirnov AV, Zeitlin AM. Quantum K-theory of quiver varieties and many-body systems. <i>Selecta Mathematica</i>. 2021;27(5). doi:<a href=\"https://doi.org/10.1007/s00029-021-00698-3\">10.1007/s00029-021-00698-3</a>","ieee":"P. Koroteev, P. Pushkar, A. V. Smirnov, and A. M. Zeitlin, “Quantum K-theory of quiver varieties and many-body systems,” <i>Selecta Mathematica</i>, vol. 27, no. 5. Springer Nature, 2021.","ista":"Koroteev P, Pushkar P, Smirnov AV, Zeitlin AM. 2021. Quantum K-theory of quiver varieties and many-body systems. Selecta Mathematica. 27(5), 87.","short":"P. Koroteev, P. Pushkar, A.V. Smirnov, A.M. Zeitlin, Selecta Mathematica 27 (2021).","mla":"Koroteev, Peter, et al. “Quantum K-Theory of Quiver Varieties and Many-Body Systems.” <i>Selecta Mathematica</i>, vol. 27, no. 5, 87, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s00029-021-00698-3\">10.1007/s00029-021-00698-3</a>.","chicago":"Koroteev, Peter, Petr Pushkar, Andrey V. Smirnov, and Anton M. Zeitlin. “Quantum K-Theory of Quiver Varieties and Many-Body Systems.” <i>Selecta Mathematica</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00029-021-00698-3\">https://doi.org/10.1007/s00029-021-00698-3</a>.","apa":"Koroteev, P., Pushkar, P., Smirnov, A. V., &#38; Zeitlin, A. M. (2021). Quantum K-theory of quiver varieties and many-body systems. <i>Selecta Mathematica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00029-021-00698-3\">https://doi.org/10.1007/s00029-021-00698-3</a>"},"has_accepted_license":"1","date_created":"2021-09-12T22:01:22Z","article_number":"87","scopus_import":"1","isi":1,"article_processing_charge":"Yes (via OA deal)","acknowledgement":"First of all we would like to thank Andrei Okounkov for invaluable discussions, advises and sharing with us his fantastic viewpoint on modern quantum geometry. We are also grateful to D. Korb and Z. Zhou for their interest and comments. The work of A. Smirnov was supported in part by RFBR Grants under Numbers 15-02-04175 and 15-01-04217 and in part by NSF Grant DMS–2054527. The work of P. Koroteev, A.M. Zeitlin and A. Smirnov is supported in part by AMS Simons travel Grant. A. M. Zeitlin is partially supported by Simons Collaboration Grant, Award ID: 578501. Open access funding provided by Institute of Science and Technology (IST Austria).","title":"Quantum K-theory of quiver varieties and many-body systems","month":"08","date_updated":"2023-08-14T06:34:14Z","publication_identifier":{"issn":["1022-1824"],"eissn":["1420-9020"]},"year":"2021","ddc":["530"],"abstract":[{"text":"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.","lang":"eng"}],"publisher":"Springer Nature","issue":"5","article_type":"original","status":"public","department":[{"_id":"TaHa"}],"oa_version":"Published Version"}