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arXiv · 0810.2056

Cohomology rings of certain seven dimensional manifolds

Christine M. Escher·S. K. Ultman
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Abstract

We calculate the cohomology rings of a collection of seven dimensional manifolds supporting an S^3 x S^3-action with one dimensional orbit space. These manifolds are of interest to differential geometers studying non-negative and positive sectional curvature. From this collection, we identify several families of manifolds for which there exist well-known topological invariants distinguishing homeomorphism and diffeomorphism types.

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Christine M. Escher, S. K. Ultman. 2008-12-08. Cohomology rings of certain seven dimensional manifolds. https://arxiv.org/abs/0810.2056

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