Poincaré duality (Ex)
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Diarmuid Crowley (Talk | contribs)
(Created page with "<wikitex>; Let $\Zz_\omega$ denote homology with local co-efficients in $\Zz$ twisted the orientation character $\omega \colon \pi_1(M) \to \Zz/2$ of a compact manifold $M$, l...")
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(Created page with "<wikitex>; Let $\Zz_\omega$ denote homology with local co-efficients in $\Zz$ twisted the orientation character $\omega \colon \pi_1(M) \to \Zz/2$ of a compact manifold $M$, l...")
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Revision as of 17:01, 9 February 2012
Let denote homology with local co-efficients in twisted the orientation character of a compact manifold , let denote the total space of the non-trivial linear sphere bundle over and let be a closed simply connected manifold.
Determine the following homology groups (in terms of where appropriate