Results 1 to 10 of about 12,632 (221)
Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism [PDF]
Scientific Reports, 2022 Irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation was previously reported, which manifested complex branching processes via the interplay of material deformation ...
Kazuharu Uchiyama +8 more
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Soergel calculus and Schubert calculus [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2018 We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formula has several applications in modular representation theory.
He, X., Williamson, G.
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Schubert Calculus according to Schubert
, 2006 We try to understand and justify Schubert Calculus the way Schubert did it.Comment: 17 pages in english, 7 figures.
Ronga, Felice
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Crystal approach to affine Schubert calculus [PDF]
International Mathematics Research Notices, 2014 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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Probabilistic Schubert Calculus: Asymptotics [PDF]
Arnold Mathematical Journal, 2020 AbstractIn the recent paper Bürgisser and Lerario (Journal für die reine und angewandte Mathematik (Crelles J), 2016) introduced a geometric framework for a probabilistic study of real Schubert Problems. They denoted by $$\delta _{k,n}$$ δ k ,
Lerario, Antonio, Mathis, Léo
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Combinatorial description of the cohomology of the affine flag variety [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We construct the affine version of the Fomin-Kirillov algebra, called the affine FK algebra, to investigatethe combinatorics of affine Schubert calculus for typeA. We introduce Murnaghan-Nakayama elements and Dunklelements in the affine FK algebra.
Seung Jin Lee
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Discrete Mathematics & Theoretical Computer Science, 2020 In this work triangular puzzles that are composed of unit triangles with labelled edges are considered. To be more precise, the labelled unit triangles that we allow are on the one hand the puzzle pieces that compute Schubert calculus and on the other ...
Sabine Beil
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Genomic Tableaux and Combinatorial $K$-Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We introduce genomic tableaux, with applications to Schubert calculus. We report a combinatorial rule for structure coefficients in the torus-equivariant $K$-theory of Grassmannians for the basis of Schubert structure sheaves.
Oliver Pechenik, Alexander Yong
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Probabilistic Schubert calculus [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2018 Abstract We initiate the study of average intersection theory in real Grassmannians. We define the expected degree edeg
Bürgisser, Peter, Lerario, Antonio
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On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
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