Integral equivariant cohomology of affine Grassmannians
Algebraic Geometry
2025-02-12 v1 Combinatorics
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 .
Keywords
Cite
@article{arxiv.2305.19895,
title = {Integral equivariant cohomology of affine Grassmannians},
author = {David Anderson},
journal= {arXiv preprint arXiv:2305.19895},
year = {2025}
}
Comments
16 pages. This supersedes Section 10 of arXiv:2105.11404v1, which will be updated to omit that section