Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces
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
scientific article; zbMATH DE number 2028879
scientific article