Elliptic stable envelopes

By Mina Aganagic, A. Okounkov. Journal of The American Mathematical Society, 2016

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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 q q -difference equations arising in the enumerative K-theory of rational curves in Nakajima varieties, including the quantum Knizhnik–Zamolodchikov equations.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

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