The real and rational cohomology of differential fibre bundles

Wolf, Joel

doi:10.1090/S0002-9947-1978-0511406-7

The real and rational cohomology of differential fibre bundles
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by Joel Wolf

Trans. Amer. Math. Soc. 245 (1978), 211-220

DOI: https://doi.org/10.1090/S0002-9947-1978-0511406-7

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Abstract:

Consider a differential fibre bundle (E, $\pi$, X, ${G \left / {\vphantom {G H}} \right . H}$ , 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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The cohomology of homogeneous spaces and related topics

Joel Wolf, The cohomology of homogeneous spaces, Amer. J. Math. 99 (1977), no. 2, 312–340. MR 438370, DOI 10.2307/2373822