Thom polynomials of Morin singularities

2006/08/11 by Gergely Bérczi, Berczi, Gergely, András Szenes +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.math/0608285

Abstract

We prove a formula for Thom polynomials of Morin (or A_d) singularities in any codimension. We use a combination of the test-curve method of Porteous, and the localization methods in equivariant cohomology. Our formulas are independent of the codimension, and they are computationally efficient for d less than 7.

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• Higher characteristic classes of multisingularity loci

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