Thom polynomials and Schur functions: the singularities I_{2,2}(-)

Piotr Pragacz

Thom polynomials and Schur functions: the singularities I_{2,2}(-)

Algebraic Geometry 2007-05-23 v1

Authors: Piotr Pragacz

Comments: 21 pages; Ann. Inst. Fourier vol.57; this is expanded Sect.4 of math.AG/0509234; new added results: Theorem 11 (based on P-ideals of singularities) and explicit expressions for the coefficients of the Thom polynomials of I_22(-) (Propositions 17, 18, 19); references updated

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Abstract

We give the Thom polynomials for the singularities $I_{2,2}$ associated with maps $({\bf C}^{\bullet},0) \to ({\bf C}^{\bullet+k},0)$ with parameter $k\ge 0$ . Our computations combine the characterization of Thom polynomials via the ``method of restriction equations'' of Rimanyi et al. with the techniques of Schur functions.

Keywords

schubert polynomials symmetric functions kazhdan-lusztig polynomials

Cite

@article{arxiv.0705.1375,
  title  = {Thom polynomials and Schur functions: the singularities I_{2,2}(-)},
  author = {Piotr Pragacz},
  journal= {arXiv preprint arXiv:0705.1375},
  year   = {2007}
}

Thom polynomials and Schur functions: the singularities I_{2,2}(-)

Abstract

Keywords

Cite

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