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Classification and Characterization of rationally elliptic manifolds in low dimensions (1409.8036v2)
Published 29 Sep 2014 in math.AT and math.DG
Abstract: We give a characterization of closed, simply connected, rationally elliptic 6-manifolds in terms of their rational cohomology rings and a partial classification of their real cohomology rings. We classify rational, real and complex homotopy types of closed, simply connected, rationally elliptic 7-manifolds. We give partial results in dimensions 8 and 9.
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