Thom polynomials, symmetries and incidences of singularities |
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Authors: | Richárd Rimányi |
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Institution: | (1) Department of Analysis, ELTE TTK, Rákóczi út 5., Budapest 1088, Hungary (e-mail: rimanyi@cs.elte.hu), HU |
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Abstract: | 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 N
n
?P
n+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.
Oblatum 4-II-1999 & 19-VII-2000?Published online: 30 October 2000 |
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Keywords: | |
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