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arXiv · 1909.11129

The suspension of a 4-manifold and its applications

Tseleung So·Stephen Theriault
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Abstract

Let $M$ be a smooth, orientable, closed, connected $4$-manifold and suppose that $H_1(M;\mathbb{Z})$ is finitely generated and has no $2$-torsion. We give a homotopy decomposition of the suspension of $M$ in terms of spheres, Moore spaces and $\Sigma\mathbb{C}P^{2}$. This is used to calculate any reduced generalized cohomology theory of $M$ as a group and to determine the homotopy types of certain current groups and gauge groups.

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Tseleung So, Stephen Theriault. 2019-09-24. The suspension of a 4-manifold and its applications. https://arxiv.org/abs/1909.11129

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