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arXiv:2109.12415 [math.AT]AbstractReferencesReviewsResources

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

Tyrone Cutler, Tseleung So

Published 2021-09-25, updated 2022-02-05Version 2

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 $M$.

Comments: 25 pages
Categories: math.AT
Subjects: 57N65, 55P15, 55P40
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