Positivity of Schur function expansions of Thom polynomials

• Autorzy: Piotr Pragacz , Andrzej Weber
• Języki publikacji: EN

Abstrakty

EN

Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.

Kategorie tematyczne

• 14N15: Classical problems, Schubert calculus
• 14C17: Intersection theory, characteristic classes, intersection multiplicities
• 57R45: Singularities of differentiable mappings
• 05E05: Symmetric functions and generalizations
• 55R40: Homology of classifying spaces, characteristic classes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 195
• Numer: 1
• Strony: 85-95

Daty

wydano

2007

Twórcy

autor

Piotr Pragacz

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

autor

Andrzej Weber

• Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm195-1-3