Integral equivariant cohomology of affine Grassmannians

Abstract

We give explicit presentations of the integral equivariant cohomology of the affine Grassmannians and flag varieties in type A, arising from their natural embeddings in the corresponding infinite (Sato) Grassmannian and flag variety. These presentations are compared with results obtained by Lam and Shimozono, for rational equivariant cohomology of the affine Grassmannian, and by Larson, for the integral cohomology of the moduli stack of vector bundles on ${\mathbb{P}}^1$.

16 pages. This supersedes Section 10 of arXiv:2105.11404v1, which will be updated to omit that section

Cited by in corpus (2)

• Infinite flags and Schubert polynomials
• Equivariant cohomology of juggling varieties in rank one