Integral equivariant cohomology of affine Grassmannians
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
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| _version_ | 1866915144894775296 |
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| author | Anderson, David |
| author_facet | Anderson, David |
| contents | 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 $\mathbb{P}^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19895 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Integral equivariant cohomology of affine Grassmannians Anderson, David Algebraic Geometry Combinatorics 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 $\mathbb{P}^1$. |
| title | Integral equivariant cohomology of affine Grassmannians |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2305.19895 |