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 an arbitrary Schubert class in the classical and quantum cohomology rings of X as a polynomial in certain special Schubert classes. Our analysis reveals a surprising relation between the Schubert calculus on even and odd orthogonal Grassmannians. We also study eta polynomials, a family of polynomials defined using raising operators whose algebra agrees with the Schubert calculus on X
We revisit residue formulas for the push-forward in the cohomology of the even orthogonal Grassmanni...
Regular semisimple Hessenberg varieties are a family of subvarieties of the flag variety that arise ...
AbstractThis paper develops a new method for studying the cohomology of orthogonal flag varieties. R...
Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector ...
Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vec...
Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vec...
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses...
Let V be a vector space with a non-degenerate symmetric form and OG be the orthogonal Grassmannian...
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses...
In this thesis we use Young's raising operators to define and study polynomials which represent the ...
Abstract. We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2...
AbstractOdd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensi...
International audienceWe prove an explicit closed formula, written as a sum of Pfaffians, whic...
In this thesis we use Young’s raising operators to define and study polyno-mials which represent the...
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional sp...
We revisit residue formulas for the push-forward in the cohomology of the even orthogonal Grassmanni...
Regular semisimple Hessenberg varieties are a family of subvarieties of the flag variety that arise ...
AbstractThis paper develops a new method for studying the cohomology of orthogonal flag varieties. R...
Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector ...
Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vec...
Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vec...
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses...
Let V be a vector space with a non-degenerate symmetric form and OG be the orthogonal Grassmannian...
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses...
In this thesis we use Young's raising operators to define and study polynomials which represent the ...
Abstract. We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2...
AbstractOdd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensi...
International audienceWe prove an explicit closed formula, written as a sum of Pfaffians, whic...
In this thesis we use Young’s raising operators to define and study polyno-mials which represent the...
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional sp...
We revisit residue formulas for the push-forward in the cohomology of the even orthogonal Grassmanni...
Regular semisimple Hessenberg varieties are a family of subvarieties of the flag variety that arise ...
AbstractThis paper develops a new method for studying the cohomology of orthogonal flag varieties. R...