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| A Note on Residue Formulas for the Euler Class of Sphere Fibrations |
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Citation： |
Francisco G´omez RUIZ.A Note on Residue Formulas for the Euler Class of Sphere Fibrations[J].Chinese Annals of Mathematics B,2011,32(4):615~618 |
| Page view： 1659
Net amount： 1201 |
Authors： |
Francisco G′omez RUIZ; |
Foundation： |
the DGICYT Grant (No. MTM2007-60016) and the Junta de Andaluc′?a Grant
(No. P07-FQM-2863). |
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| Abstract： |
This paper presents a definition of residue formulas for the Euler class of
cohomology-oriented sphere fibrations ξ. If the base of ξ is a topological manifold, a Hopf
index theorem can be obtained and, for the smooth category, a generalization of a residue
formula is derived for real vector bundles given in [2]. |
Keywords： |
Euler class, Sphere fibration, Hopf index theorem, Residue formulas |
Classification： |
55R25, 57R20 |
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