Architectonics of Alain Lascoux's preferred formulas. (Architectonique des formules préférées d'Alain Lascoux.)
Pragacz, Piotr (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Displaying similar documents to “Double Schubert polynomials and degeneracy loci for the classical groups”
Architectonics of Alain Lascoux's preferred formulas. (Architectonique des formules préférées d'Alain Lascoux.)
Schur and Schubert polynomials as Thom polynomials-cohomology of moduli spaces
László Fehér, Richárd Rimányi (2003)
Open Mathematics
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The theory of Schur and Schubert polynomials is revisited in this paper from the point of view of generalized Thom polynomials. When we apply a general method to compute Thom polynomials for this case we obtain a new definition for (double versions of) Schur and Schubert polynomials: they will be solutions of interpolation problems.
Pieri's formula for flag manifolds and Schubert polynomials
Frank Sottile (1996)
Annales de l'institut Fourier
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We establish the formula for multiplication by the class of a special Schubert variety in the integral cohomology ring of the flag manifold. This formula also describes the multiplication of a Schubert polynomial by either an elementary or a complete symmetric polynomial. Thus, we generalize the classical Pieri’s formula for Schur polynomials (associated to Grassmann varieties) to Schubert polynomials (associated to flag manifolds). Our primary technique is an explicit geometric description...
Enumerative geometry of degeneracy loci
Piotr Pragacz (1988)
Annales scientifiques de l'École Normale Supérieure
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Derived categories of coherent sheaves on rational homogeneous manifolds.
Böhning, Christian (2006)
Documenta Mathematica
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Positivity of Schur function expansions of Thom polynomials
Piotr Pragacz, Andrzej Weber (2007)
Fundamenta Mathematicae
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Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.
On the -conjecture
Claudio Procesi (2001-2002)
Séminaire Bourbaki
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Bounds for Chern classes of semistable vector bundles on complex projective spaces
Wiera Dobrowolska (1993)
Colloquium Mathematicae
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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.