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Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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We define an elliptic version of the stable envelope of Maulik and Okounkov for the equivariant elliptic cohomology of cotangent bundles of Grassmannians. It is a version of the construction proposed by Aganagic and Okounkov and is based on weight functions and shuffle products. We construct an action of the dynamical elliptic quantum group associated with $\mathfrak{gl}_2$ on the equivariant elliptic cohomology of the union of cotangent bundles of Grassmannians. The generators of the elliptic quantum groups act as difference operators on sections of admissible bundles, a notion introduced in this paper.
Keywords: elliptic cohomology; elliptic quantum group; elliptic stable envelope. 
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a131/}
}
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Giovanni Felder; Richárd Rimányi; Alexander Varchenko. Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a131/

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