Equivariant quantum cohomology of homogeneous spaces

Details Equivariant quantum cohomology of homogeneous spaces Equivariant quantum cohomology of homogeneous spaces

2005-01-14

arxiv.org/abs/math/0501213v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We prove a Chevalley formula for the equivariant quantum multiplication of
two Schubert classes in the homogeneous variety X=G/P. As in the case when X is
a Grassmannian, studied by the author in a previous paper, this formula implies
an effective algorithm to compute the structure constants of the equivariant
quantum cohomology algebra of X.

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