Results 141 to 150 of about 220,490 (165)
The Secant Conjecture in the Real Schubert Calculus [PDF]
Experimental Mathematics, 2012 19 ...
Christopher Hillar +2 more
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Schubert Calculus on Newton–Okounkov Polytopes
Springer Proceedings in Mathematics and Statistics, 2022 A Newton-Okounkov polytope of a complete flag variety can be turned into a convex geometric model for Schubert calculus. Namely, we can represent Schubert cycles by linear combinations of faces of the polytope so that the intersection product of cycles corresponds to the set-theoretic intersection of faces (whenever the latter are transverse).
Valentina Alekseevna Kiritchenko
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k-Schur Functions and Affine Schubert Calculus
Fields Institute Monographs, 2014 This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry,
Anne Schilling +2 more
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Equivariant quantum Schubert calculus
Advances in Mathematics, 2006 We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.
Leonardo C. Mihalcea
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Some of the next articles are maybe not open access.
Equivariant Schubert calculus and geometric Satake [PDF]
Journal of AlgebraThe main classical result of Schubert calculus is that multiplication rules for the basis of Schubert cycles inside the cohomology ring of the Grassmannian $G(n,m)$ are the same as multiplication rules for the basis of Schur polynomials in the ring of ...
Antoine Labelle
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A combinatorial rule for (co)minuscule Schubert calculus [PDF]
Advances in Mathematics, 2009 We prove a root system uniform, concise combinatorial rule for Schubert calculus of minuscule and cominuscule flag manifolds G/P (the latter are also known as compact Hermitian symmetric spaces).
Hugh Thomas, Alexander Yong
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The Monotone Secant Conjecture in the Real Schubert Calculus [PDF]
Experimental Mathematics, 2015 The monotone secant conjecture posits a rich class of polynomial systems, all of whose solutions are real. These systems come from the Schubert calculus on flag manifolds, and the monotone secant conjecture is a compelling generalization of the Shapiro conjecture for Grassmannians (Theorem of Mukhin, Tarasov, and Varchenko). We present some theoretical
Christopher Hillar +2 more
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On Multiplicity-Free Skew Characters and the Schubert Calculus [PDF]
Annals of Combinatorics, 2010 In this paper we classify the multiplicity-free skew characters of the symmetric group. Furthermore we show that the Schubert calculus is equivalent to that of skew characters in the following sense: If we decompose the product of two Schubert classes we get the same as if we decompose a skew character and replace the irreducible characters by Schubert
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A moebius-like formula in the schubert calculus
Inventiones Mathematicae, 1976 exaly +2 more sources