Quasimap counts and bethe eigenfunctions

Mina Aganagic, Andrei Okounkov

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)565-600
Number of pages36
JournalMoscow Mathematical Journal
Volume17
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017
Externally publishedYes

Keywords

  • Bethe ansatz
  • Knizhnik-Zamolodchi-kov equations
  • Quasimaps

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