User fred137 - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T09:45:15Z http://mathoverflow.net/feeds/user/19680 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/82436/spectral-sequence-for-h-space-bundles Spectral sequence for H-space bundles fred137 2011-12-02T08:31:52Z 2012-04-28T17:49:09Z <p>Let $F \rightarrow E \rightarrow B$ be a fibre bundle such that $B$ is a smooth and compact manifold and $F$ obtains an associative H-space structure. Explicitly, it is not a principal bundle.</p> <p>One may use the Leray-Serre spectral sequence to compute the (co)homology of $E$. But it does not make use of the H-space structure of $F$.</p> <p>Is there a spectral sequence or some other tool which one can use in order to compute the cohomology or homology of $E$ by using the H-space structure of $F$? </p> http://mathoverflow.net/questions/82436/spectral-sequence-for-h-space-bundles Comment by fred137 fred137 2011-12-02T11:21:41Z 2011-12-02T11:21:41Z I am sorry for asking a question that is not very precise. But I am still interested if there is a theory with some extra conditions imposed on the compatibility of the H-space structure and bundle structure.