The homotopy type of a once-suspended 6-manifold and its applications

Tyrone Cutler; Tseleung So

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arXiv · 2109.12415

The homotopy type of a once-suspended 6-manifold and its applications

Tyrone Cutler·Tseleung So

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Abstract

Let $M$ be a closed, oriented, simply connected 6-manifold. After localization away from 2, we give a homotopy decomposition of $\Sigma M$ in terms of spheres, Moore spaces and other recognizable spaces. As applications we calculate generalized cohomology groups of $M$ and determine the homotopy types of gauge groups of certain bundles over $M$.

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Tyrone Cutler, Tseleung So. 2021-09-25. The homotopy type of a once-suspended 6-manifold and its applications. https://arxiv.org/abs/2109.12415

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