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Equivariant quantum cohomology of homogeneous spaces

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

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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Cite

@article{arxiv.math/0501213,
  title  = {Equivariant quantum cohomology of homogeneous spaces},
  author = {Leonardo Constantin Mihalcea},
  journal= {arXiv preprint arXiv:math/0501213},
  year   = {2007}
}

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21 pages