Positivity of Thom polynomials II: the Lagrange singularities

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

Abstrakty

EN

We study Thom polynomials associated with Lagrange singularities. We expand them in the basis of Q̃-functions. This basis plays a key role in the Schubert calculus of isotropic Grassmannians. We prove that the Q̃-function expansions of the Thom polynomials of Lagrange singularities always have nonnegative coefficients. This is an analog of a result on the Thom polynomials of mapping singularities and Schur S-functions, established formerly by the last two authors.

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: 2009
• Tom: 202
• Numer: 1
• Strony: 65-79

Daty

wydano

2009

Twórcy

autor

Małgorzata Mikosz

• Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

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/fm202-1-3