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Showing 1 to 5 of 5 for “"Schubert variety"”.
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Matrix Schubert varieties for the affine Grassmannian
Schubert calculus has become an indispensable tool for enumerative geometry. It concerns the multiplication of Schubert classes in the cohomology of flag varieties, and is typically conducted using algebraic combinatorics by way of a polynomial ring presentation of the cohomology ring. The …
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Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian
… on IG with two orbits, and IG is itself a smooth Schubert variety in the submaximal isotropic Grassmannian IG(k, 2n + 2). We use the technique of curve neighborhoods to prove a Chevalley formula in the equivariant quantum cohomology of IG, i.e. a formula to multiply a Schubert class by the …
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Combinatorics in Schubert varieties and Specht modules
… In the first part of the thesis, we link Schubert varieties in the full flag variety with hyperplane arrangements. Schubert varieties are parameterized by elements of the Weyl group. For each element of the Weyl group, we construct certain hyperplane arrangement. We show that the …
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Prism tableaux and alternating sign matrices
A. Lascoux and M.-P. Schutzenberger introduced Schubert polynomials to study the cohomology ring of the complete flag variety Fl(C^n). Each Schubert polynomial corresponds to the class defined by a Schubert variety X_w in Fl(C^n). Schubert polynomials are indexed by elements of the symmetric group …
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Kazhdan-Lusztig-Basen, unzerlegbare Bimoduln und die Topologie der Fahnenmannigfaltigkeit einer Kac-Moody-Gruppe
… dann als äquivariante <br>Schnittkohomologie von Schubertvarietäten in dieser Fahnenmannigfaltigkeit. <br> <br>Die Arbeit verallgemeinert Ergebnisse von W. Soergel, mit deren Hilfe sich <br>für eine halbeinfache Liealgebra g die Struktur der Kategorie O von Bernstein, <br>Gelfand und Gelfand …