Thom polynomials and Schur functions I

Abstract

We give the Thom polynomials for the singularities I_2,2 and A_3 associated with maps (C^n,0) -> (C^{n+k},0) with parameter k>=0. We give the Schur function expansions of these Thom polynomials. Moreover, for the singularities A_i (with any parameter k >= 0) we analyze the ``first approximation'' F^(i) to the Thom polynomial. Our computations combine the characterization of Thom polynomials via the ``method of restriction equations'' of Rimanyi et al. with the techniques of (super) Schur functions.

Misprints corrected, References updated

References in corpus (2)

• On second order Thom-Boardman singularities
• Positivity of Schur function expansions of Thom polynomials

Cited by in corpus (7)

• On second order Thom-Boardman singularities
• Non-associative Hilbert scheme and Thom polynomials
• Thom series of contact singularities
• Positivity of Schur function expansions of Thom polynomials
• Thom polynomials and Schur funcions: the singularities $A_3(-)$
• On the structure of Thom polynomials of singularities
• Non-reductive geometric invariant theory and Thom polynomials