English

On Schur function expansions of Thom polynomials

Algebraic Geometry 2012-09-06 v4 Algebraic Topology Combinatorics

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.

Keywords

Cite

@article{arxiv.1111.6612,
  title  = {On Schur function expansions of Thom polynomials},
  author = {Özer Öztürk and Piotr Pragacz},
  journal= {arXiv preprint arXiv:1111.6612},
  year   = {2012}
}

Comments

v.4, 34 pages, in "Contributions to Algebraic Geometry", EMS Series of Congress Reports, one correction on p.3, references updated

R2 v1 2026-06-21T19:42:51.032Z