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Moscow Mathematical Journal, 2017, Volume 17, Number 4, Pages 565–600
DOI: https://doi.org/10.17323/1609-4514-2017-17-4-565-600 (Mi mmj649) 		 
This article is cited in 35 scientific papers (total in 35 papers)

Quasimap counts and Bethe eigenfunctions

Mina Aganagicab, Andrei Okounkovcde

a Center for Theoretical Physics, University of California, Berkeley, CA 94720, U.S.A.
b Department of Mathematics, University of California, Berkeley, CA 94720, U.S.A.
c Department of Mathematics, Columbia University, New York, NY 10027, U.S.A.
d Institute for Problems of Information Transmission, Bolshoy Karetny 19, Moscow 127994, Russia
e Laboratory of Representation, Theory and Mathematical Physics, Higher School of Economics, Myasnitskaya 20, Moscow 101000, Russia
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DOI: https://doi.org/10.17323/1609-4514-2017-17-4-565-600
Abstract: We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties. This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik–Zamolodchikov and dynamical $q$-difference equations.
Key words and phrases: quasimaps, Bethe ansatz, Knizhnik–Zamolodchikov equations.
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Document Type: Article
MSC: 82B23, 14N35
Language: English
Citation: Mina Aganagic, Andrei Okounkov, “Quasimap counts and Bethe eigenfunctions”, Mosc. Math. J., 17:4 (2017), 565–600
Citation in format AMSBIB
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\by Mina~Aganagic, Andrei~Okounkov
\paper Quasimap counts and Bethe eigenfunctions
\jour Mosc. Math.~J.
\yr 2017
\vol 17
\issue 4
\pages 565--600
\mathnet{http://mi.mathnet.ru/mmj649}
\crossref{https://doi.org/10.17323/1609-4514-2017-17-4-565-600}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416897600002}
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