144 citations · 960 across the 38 of their papers we have counts for
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math.RT2018★ 18 cited
-opers, the -Langlands correspondence, and quantum/classical duality
Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin
A special case of the geometric Langlands correspondence is given by the relationship between solutions of the Bethe ansatz equations for the Gaudin model and opers - connections o…
math.AG2018★ 12 cited
A-type Quiver Varieties and ADHM Moduli Spaces
Peter Koroteev
We study quantum geometry of Nakajima quiver varieties of two different types - framed A-type quivers and ADHM quivers. While these spaces look completely different we find a surpr…
math.AG2018★ 21 cited
qKZ/tRS Duality via Quantum K-Theoretic Counts
Peter Koroteev, Anton M. Zeitlin
We show that normalized quantum K-theoretic vertex functions for cotangent bundles of partial flag varieties are the eigenfunctions of quantum trigonometric Ruijsenaars-Schneider (…