Abstract
The theory of Schur and Schubert polynomials is revisited in this paper from the point of view of generalized Thom polynomials. When we apply a general method to compute Thom polynomials for this case we obtain a new definition for (double versions of) Schur and Schubert polynomials: they will be solutions of interpolation problems.
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Fehér, L.M., Rimányi, R. Schur and Schubert polynomials as Thom polynomials—cohomology of moduli spaces. centr.eur.j.math. 1, 418–434 (2003). https://doi.org/10.2478/BF02475176
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DOI: https://doi.org/10.2478/BF02475176
Keywords
- Thom polynomials
- global singularity theory
- Schur and Schubert polynomials
- double Schubert polynomials
- cohomology of quotients