Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces
type: Item
instance of: scholarly article
title: Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces
zbMATH Open document ID: 1038.57008
DOI: 10.2478/BF02475176
author: László M. Fehér
author: Richárd Rimányi
published in: Central European Journal of Mathematics
publication date: 2004-01-19T00:00:00Z
review text: The authors present the theory of Schur and Schubert polynomials, revisited from the point of view of generalized Thom polynomials. The Schur and Schubert polynomials are realized as first obstructions of certain fiber bundles. After presenting some results about the Thom polynomials for group actions, the authors obtain the calculation of these polynomials via the method of restriction equations. Then they obtain a new definition for the Schur and Schubert polynomials by applying the general method to compute them as Thom polynomials. They also redefine the double Schubert polynomials and the Kempf-Laksov-Schur polynomials
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 14N10
Mathematics Subject Classification ID: 14M15
zbMATH DE Number: 2028879
zbMATH Keywords: Schur polynomials
zbMATH Keywords: Schubert polynomials
zbMATH Keywords: Thom polynomials
zbMATH Keywords: method of restriction equations
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2028879