Thom polynomials, symmetries and incidences of singularities

被引:0
作者
Richárd Rimányi
机构
[1] Department of Analysis,
[2] ELTE TTK,undefined
[3] Rákóczi út 5.,undefined
[4] Budapest 1088,undefined
[5] Hungary (e-mail: rimanyi@cs.elte.hu),undefined
来源
Inventiones mathematicae | 2001年 / 143卷
关键词
Vector Bundle; Cohomology Class; Chern Class; Cohomology Ring; Maximal Compact Subgroup;
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摘要
As an application of the generalized Pontryagin-Thom construction [RSz] here we introduce a new method to compute cohomological obstructions of removing singularities — i.e. Thom polynomials [T]. With the aid of this method we compute some sample results, such as the Thom polynomials associated to all stable singularities of codimension ≤8 between equal dimensional manifolds, and some other Thom polynomials associated to singularities of maps Nn?Pn+k for k>0. We also give an application by reproving a weak form of the multiple point formulas of Herbert and Ronga ([H], [Ro2]). As a byproduct of the theory we define the incidence class of singularities, which — the author believes — may turn to be an interesting, useful and simple tool to study incidences of singularities.
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页码:499 / 521
页数:22
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