most citedEquivariant quantum cohomology of homogeneous spaces

2 citations · 2 across the 4 of their papers we have counts for

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4 papers

math.CO2005

Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

Leonardo Constantin Mihalcea

We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the e…

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…