Positivity of Schur function expansions of Thom polynomials
Volume 195 / 2007
Fundamenta Mathematicae 195 (2007), 85-95
MSC: 05E05, 14C17, 14N15, 55R40, 57R45.
DOI: 10.4064/fm195-1-3
Abstract
Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton–Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.