Thom Polynomials and Schur Functions: The Singularities $A_3(−)$

Alain Lascoux; Piotr Pragacz

doi:10.2977/prims/5

JournalsprimsVol. 46, No. 1pp. 183–200

Thom Polynomials and Schur Functions: The Singularities $A_{3} (-)$

Alain Lascoux
Université de Paris-Est, Marne-la-Vallée, France
Piotr Pragacz
Polish Academy of Sciences, Warsaw, Poland

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Abstract

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 $A_{3} : (C^{•}, 0) \to (C^{• + k}, 0)$ for any nonnegative integer $k$ .

Cite this article

Alain Lascoux, Piotr Pragacz, Thom Polynomials and Schur Functions: The Singularities $A_{3} (-)$ . Publ. Res. Inst. Math. Sci. 46 (2010), no. 1, pp. 183–200

DOI 10.2977/PRIMS/5