Corpus ID: 16979131

Equivariant quantum cohomology of homogeneous spaces.

@article{Mihalcea2005EquivariantQC,
  title={Equivariant quantum cohomology of homogeneous spaces.},
  author={L. Mihalcea},
  journal={arXiv: Algebraic Geometry},
  year={2005}
}
  • L. Mihalcea
  • Published 2005
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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. 
    Quantum cohomology of the Springer resolution
    70
    Quantum cohomology of G/P and homology of affine Grassmannian
    89
    K-theoretic Gromov–Witten Invariants of Lines in Homogeneous Spaces
    7

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 73 REFERENCES
    Positivity in equivariant Schubert calculus
    106
    On equivariant quantum cohomology
    41
    Quantum cohomology of flag manifolds
    14
    Quantum cohomology of flag manifolds and Toda lattices
    189
    Quantum cohomology via D-modules
    41