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Thom polynomials of Morin singularities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2012Embargo end date: 01 Jan 2006 English Publisher:Annals of MathematicsJournal:Annals of Mathematics, volume 175, pages 567-629 (issn: 0003-486X, Copyright policy )Funded by:SNSF | Symmetry and Positivity i..., SNSF | Algèbre, Analyse, Géométr...
Authors: Berczi Gergely; Szenes Andras;

doi: 10.4007/annals.2012.175.2.4 , 10.48550/arxiv.math/0608285

arXiv: http://arxiv.org/abs/math/0608285

Thom polynomials of Morin singularities

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.

Latex, 70 pages, details added and misprints corrected

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Keywords

FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Top 10%
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