Geodesic
Positivity of Thom polynomials II: the Lagrange singularities
Małgorzata Mikosz1 ; Piotr Pragacz2 ; Andrzej Weber3
1 Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
3 Department of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 202 (2009) no. 1, pp. 65-79.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study Thom polynomials associated with Lagrange singularities. We expand them in the basis of ${\tilde Q}$-functions. This basis plays a key role in the Schubert calculus of isotropic Grassmannians. We prove that the ${\tilde Q}$-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.
DOI : 10.4064/fm202-1-3
Keywords: study thom polynomials associated lagrange singularities expand basis tilde functions basis plays key role schubert calculus isotropic grassmannians prove tilde function expansions thom polynomials lagrange singularities always have nonnegative coefficients analog result thom polynomials mapping singularities schur s functions established formerly authors

Małgorzata Mikosz 1 ; Piotr Pragacz 2 ; Andrzej Weber 3

1 Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
3 Department of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
@article{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},
     pages = {65--79},
     publisher = {mathdoc},
     volume = {202},
     number = {1},
     year = {2009},
     doi = {10.4064/fm202-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm202-1-3/}
}
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
SP  - 65
EP  - 79
VL  - 202
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm202-1-3/
DO  - 10.4064/fm202-1-3
LA  - en
ID  - 10_4064_fm202_1_3
ER  - 
%0 Journal Article
%A Małgorzata Mikosz
%A Piotr Pragacz
%A Andrzej Weber
%T Positivity of Thom polynomials II:
 the Lagrange singularities
%J Fundamenta Mathematicae
%D 2009
%P 65-79
%V 202
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm202-1-3/
%R 10.4064/fm202-1-3
%G en
%F 10_4064_fm202_1_3
Małgorzata Mikosz; Piotr Pragacz; Andrzej Weber. Positivity of Thom polynomials II:
 the Lagrange singularities. Fundamenta Mathematicae, Tome 202 (2009) no. 1, pp. 65-79. doi : 10.4064/fm202-1-3. http://geodesic.mathdoc.fr/articles/10.4064/fm202-1-3/

Cité par Sources :