most citedEquivariant quantum cohomology of homogeneous spaces

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math.AG2005★ 2 cited

Equivariant quantum cohomology of homogeneous spaces

Leonardo Constantin Mihalcea

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 b…

math.AG2004

Positivity in equivariant quantum Schubert Calculus

Leonardo Constantin Mihalcea

We prove a positivity result in (T-)equivariant quantum cohomology of the homogeneous space G/P, generalizing Graham's positivity in equivariant cohomology.

math.AG2004

Equivariant Quantum Schubert Calculus

Leonardo C. Mihalcea

We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implie…