Quantum cohomology of G/P and homology of affine Grassmannian
Quantum cohomology of G/P and homology of affine Grassmannian
Let G be a simple and simply-connected complex algebraic group, P ⊂ G a parabolic subgroup. We prove an unpublished result of D. Peterson which states that the quantum cohomology QH*(G/P) of a flag variety is, up to localization, a quotient of the homology H*(GrG) of the affine Grassmannian GrG …