On Schur function expansions of Thom polynomials
Abstract
We discuss computations of the Thom polynomials of singularity classes of maps in the basis of Schur functions. We survey the known results about the bound on the length and a rectangle containment for partitions appearing in such Schur function expansions. We describe several recursions for the coefficients. For some singularities, we give old and new computations of their Thom polynomials.
 Publication:

arXiv eprints
 Pub Date:
 November 2011
 arXiv:
 arXiv:1111.6612
 Bibcode:
 2011arXiv1111.6612O
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Algebraic Topology;
 Mathematics  Combinatorics;
 05E05;
 14N10;
 57R45
 EPrint:
 v.4, 34 pages, in "Contributions to Algebraic Geometry", EMS Series of Congress Reports, one correction on p.3, references updated