Geodesic
Thom series of contact singularities
L. M. Fehér1 ; R. Rimányi2
1 Department of Analysis<br/> Eötvös University Budapest<br/> 1053 Hungary
2 Department of Mathematics<br/>University of North Carolina at Chapel Hill<br/>Chapel Hill, NC 27599-3250
Annals of mathematics, Tome 176 (2012) no. 3, pp. 1381-1426 Cet article a éte moissonné depuis la source Annals of Mathematics website

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Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic combinatorics. The main obstacle of their widespread application is that only a few, sporadic Thom polynomials have been known explicitly. In this paper we develop a general method for calculating Thom polynomials of singularities. Along the way, relations with the equivariant geometry of (punctual, local) Hilbert schemes and with iterated residue identities are revealed.

DOI : 10.4007/annals.2012.176.3.1

L. M. Fehér 1 ; R. Rimányi 2

1 Department of Analysis<br/> Eötvös University Budapest<br/> 1053 Hungary
2 Department of Mathematics<br/>University of North Carolina at Chapel Hill<br/>Chapel Hill, NC 27599-3250 
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L. M. Fehér; R. Rimányi. Thom series of contact singularities. Annals of mathematics, Tome 176 (2012) no. 3, pp. 1381-1426. doi: 10.4007/annals.2012.176.3.1

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