Elliptic stable envelopes
Mina Aganagic, Andreĭ Okounkov
Abstract
We construct stable envelopes in equivariant elliptic cohomology of Nakajima quiver varieties. In particular, this gives an elliptic generalization of the results of Maulik and Okounkov [Astérisque 408 (2019), ix+209]. We apply them to the computation of the monodromy of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="q"> <mml:semantics> <mml:mi>q</mml:mi> <mml:annotation encoding="application/x-tex">q</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -difference equations arising in the enumerative K-theory of rational curves in Nakajima varieties, including the quantum Knizhnik–Zamolodchikov equations.
Topics & Concepts
QuiverMonodromyMathematicsGeneralizationEquivariant mapPure mathematicsComputationCohomologySupersingular elliptic curveElliptic curveAlgebra over a fieldMathematical analysisAlgorithmAlgebraic structures and combinatorial modelsAdvanced Combinatorial MathematicsAlgebraic Geometry and Number Theory