arXiv 1702.080602017-02math.RTmath.AT

Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology

Giovanni Felder, Richárd Rimányi, Alexander Varchenko

发表信息：: SIGMA 14 (2018), 132, 41 pages
DOI：: 10.3842/SIGMA.2018.132

英文摘要：

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.

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