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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The real and rational cohomology of differential fibre bundles


Author: Joel Wolf
Journal: Trans. Amer. Math. Soc. 245 (1978), 211-220
MSC: Primary 55R20
DOI: https://doi.org/10.1090/S0002-9947-1978-0511406-7
MathSciNet review: 511406
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Abstract: Consider a differential fibre bundle (E, $ \pi $, X, $ {G \mathord{\left/ {\vphantom {G H}} \right. \kern-\nulldelimiterspace} H}$ , G). Under certain reasonable hypotheses, the cohomology of the total space E is computed in terms of the cohomology of the base space X and algebraic invariants of the imbedding of H into G.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0511406-7
Keywords: Cohomology, fibre bundle, Eilenberg-Moore Spectral Sequence
Article copyright: © Copyright 1978 American Mathematical Society