Positivity of Thom polynomials II: the Lagrange singularities

Małgorzata Mikosz, Piotr Pragacz, and Andrzej Weber. "Positivity of Thom polynomials II: the Lagrange singularities." Fundamenta Mathematicae 202.1 (2009): 65-79. <http://eudml.org/doc/282685>.

@article{MałgorzataMikosz2009,
abstract = {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.},
author = {Małgorzata Mikosz, Piotr Pragacz, Andrzej Weber},
journal = {Fundamenta Mathematicae},
keywords = {Lagrange singularities; Thom polynomials; -functions; jets; numerical positivity; Schubert calculus; isotropic Grassmanians},
language = {eng},
number = {1},
pages = {65-79},
title = {Positivity of Thom polynomials II: the Lagrange singularities},
url = {http://eudml.org/doc/282685},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Małgorzata Mikosz
AU - Piotr Pragacz
AU - Andrzej Weber
TI - Positivity of Thom polynomials II: the Lagrange singularities
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 1
SP - 65
EP - 79
AB - 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.
LA - eng
KW - Lagrange singularities; Thom polynomials; -functions; jets; numerical positivity; Schubert calculus; isotropic Grassmanians
UR - http://eudml.org/doc/282685
ER -