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A GIAMBELLI FORMULA FOR EVEN ORTHOGONAL GRASSMANNIANS
ORTHOGONAL GRASSMANNIANS GIAMBELLI FORMULA
2015/12/17
Let X be an orthogonal Grassmannian parametrizing isotropic
subspaces in an even dimensional vector space equipped with a nondegenerate
symmetric form. We prove a Giambelli formula which expresses a...
A GIAMBELLI FORMULA FOR ISOTROPIC GRASSMANNIANS
ISOTROPIC GRASSMANNIANS GIAMBELLI FORMULA
2015/12/17
Let X be a symplectic or odd orthogonal Grassmannian. We prove
a Giambelli formula which expresses an arbitrary Schubert class in H∗
(X, Z)
as a polynomial in certain special Schubert classes...
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and G/P the corresponding partial flag variety. We prove an explicit
combinatorial Giambelli formula which expresses an a...
A Giambelli formula for the $S^1$-equivariant cohomology of type A Peterson varieties
Giambelli formula $S^1$-equivariant cohomology of type Peterson varieties
2011/2/22
The main result of this note is a Giambelli formula for the Peterson Schubert classes in the S1-equivariant cohomology ring of a type A Peterson variety. Our results depend on the Monk formula for the...