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| SPECTRAL SEQUENCES OF COHOMOLOGIES OF SINGULARITIES OF C∞ MAPPINGS |
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Citation： |
Xiao Erjian.SPECTRAL SEQUENCES OF COHOMOLOGIES OF SINGULARITIES OF C∞ MAPPINGS[J].Chinese Annals of Mathematics B,1997,18(2):153~166 |
| Page view： 1023
Net amount： 764 |
Authors： |
Xiao Erjian; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
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| Abstract： |
Two spectral sequences are defined respectively for cohomologies
$H^p(\Omega^{\cdot}_{f,k-{\cdot},0})$ and \linebreak
$H^p(\Lambda^{\cdot}_{f,k-{\cdot},0})$ of singularities of
$C^{\infty}$ mappings. They are finitely dimensional new invariances under
right equivalences and contact transformations respectively.
Formulae to be computed by linear algebra are proved. |
Keywords： |
Spectral sequence, Cohomology, Singularity,$C^{\infty}$ mapping |
Classification： |
57R45, 32S05 |
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