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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-1-3,
author = {Ma\l gorzata Mikosz and Piotr Pragacz and Andrzej Weber},
title = {Positivity of Thom polynomials II: the Lagrange singularities},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {65-79},
zbl = {1160.05058},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-1-3}
}
Małgorzata Mikosz; Piotr Pragacz; Andrzej Weber. Positivity of Thom polynomials II: the Lagrange singularities. Fundamenta Mathematicae, Tome 205 (2009) pp. 65-79. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-1-3/