Equivariant quantum cohomology of homogeneous spaces
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2005
- DOI:
- 10.48550/arXiv.math/0501213
- arXiv:
- arXiv:math/0501213
- Bibcode:
- 2005math......1213C
- Keywords:
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- Algebraic Geometry;
- Combinatorics;
- 14N35 (primary);
- 14M17;
- 14N15;
- 57R91 (secondary)
- E-Print:
- 21 pages