Results 21 to 30 of about 18,601 (168)
Schubert functors and Schubert polynomials
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Kraśkiewicz, Witold, Pragacz, Piotr
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Quantum double Schubert polynomials represent Schubert classes [PDF]
The quantum double Schubert polynomials studied by Kirillov and Maeno, and by Ciocan-Fontanine and Fulton, are shown to represent Schubert classes in Kim’s presentation of the equivariant quantum cohomology of the flag variety. Parabolic analogues of quantum double Schubert polynomials are introduced and shown to represent Schubert classes in the ...
Lam, Thomas, Shimozono, Mark
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Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
In this note we revisit the maximal-codimension residues, or leading singularities, of four-dimensional L-loop traintrack integrals with massive legs, both in Feynman parameter space and in momentum (twistor) space.
Qu Cao, Song He, Yichao Tang
doaj +1 more source
Schubert Polynomials and $k$-Schur Functions [PDF]
The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type $A$ by a Schur function, which we refer to as Schubert vs. Schur problem, can be understood combinatorially from the multiplication in the space of dual $k$-Schur functions.
Benedetti, Carolina, Bergeron, Nantel
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A Giambelli formula for isotropic Grassmannians [PDF]
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.
Buch, Anders Skovsted +2 more
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Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa–Intriligator formula
52 pages, LaTeX, revised version includes new title, new arrangement of material, some new remarks and formulas, additional references, in particular, on the preprint "Quantum Schubert polynomials" by S.Fomin, G.Gelfand and A ...
Kirillov, Anatol N., Maeno, Toshiaki
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Crystal approach to affine Schubert calculus [PDF]
We apply crystal theory to affine Schubert calculus, Gromov-Witten invariants for the complete flag manifold, and the positroid stratification of the positive Grassmannian.
Morse, Jennifer, Schilling, Anne
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We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of Lascoux.
Kürşat AKER, Nesrin TUTAŞ
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Deformed Kazhdan-Lusztig elements and Macdonald polynomials [PDF]
We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation of a maximal parabolic subalgebra of the Hecke algebra.
de Gier, Jan +2 more
core +4 more sources

