On Schur function expansions of Thom polynomials

DOI10.4171/114-1/17zbMATH Open1269.32014arXiv1111.6612OpenAlexW4242675161MaRDI QIDQ4898124

Piotr Pragacz, Özer Öztürk

Publication date: 29 December 2012

Published in: EMS Series of Congress Reports (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1111.6612

zbMATH Keywords

singularityThom polynomialresultantSchur functionGrassmaniandegeneracy locuscotangent map

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Global theory of singularities (58K30) Classical problems, Schubert calculus (14N15)

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