Thom polynomials and Schur funcions: the singularities $A_3(-)$

Alain Lascoux (1) , Piotr Pragacz

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

Combining the "method of restriction equations" of Rimányi et al. with the techniques of symmetric functions, we establish the Schur function expansions of the Thom polynomials for the Morin singularities $A_3: ({\bf C}^{\bullet},0)\to ({\bf C}^{\bullet + k},0)$ for any nonnegative integer $k$.

Domaines: Géométrie algébrique [math.AG]

Alain Lascoux, Piotr Pragacz. Thom polynomials and Schur funcions: the singularities $A_3(-)$. Publications of the Research Institute for Mathematical Sciences, 2010, 46, pp.183-200. ⟨hal-00826194⟩