Elliptic stable envelopes

Aganagic, Mina; Okounkov, Andrei

doi:10.1090/jams/954

Elliptic stable envelopes
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by Mina Aganagic and Andrei Okounkov

J. Amer. Math. Soc. 34 (2021), 79-133

DOI: https://doi.org/10.1090/jams/954

Published electronically: December 9, 2020

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

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