Geodesic
Integral equivariant cohomology of affine Grassmannians
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 727-741

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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 .
DOI : 10.4153/S0008439524000122
Mots-clés : Affine Grassmannian, equivariant cohomology, symmetric function 
Anderson, David. Integral equivariant cohomology of affine Grassmannians. Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 727-741. doi: 10.4153/S0008439524000122
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     author = {Anderson, David},
     title = {Integral equivariant cohomology of affine {Grassmannians}},
     journal = {Canadian mathematical bulletin},
     pages = {727--741},
     year = {2024},
     volume = {67},
     number = {3},
     doi = {10.4153/S0008439524000122},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000122/}
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