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Quasimap counts and Bethe eigenfunctions

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arxiv 1704.08746 v1 pith:5QVAVGHI submitted 2017-04-27 math-ph hep-thmath.AGmath.MPmath.RT

Mina Aganagic , Andrei Okounkov This is my paper · ORCID
classification math-phhep-thmath.AGmath.MPmath.RT
keywords quantumbetheeigenfunctionsexplicitgeneralinsertionalgebrasassociate
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Rationality of the K-theoretical capped vertex function for Nakajima quiver varieties

    math.AG 2024-11 conditional novelty 7.0 of 10

    For any Nakajima quiver variety with generic stability condition, the capped vertex function with descendents is a rational function of the Kähler variables.

  2. Quantum K-theory and Integrability

    math-ph 2024-12 conditional novelty 2.0 of 10

    This proceedings note reviews and advertises the equivalence between quantum K-theory of Nakajima quiver varieties and the tRS/XXZ integrable systems, with no new theorem proven.

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