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arXiv · 1406.0651

The Loop Space Homotopy Type of Simply-connected Four-manifolds and their Generalizations

Piotr Beben·Stephen Theriault
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Abstract

We determine loop space decompositions of simply-connected four-manifolds, $(n-1)$-connected $2n$-dimensional manifolds provided $n\notin\{4,8\}$, and connected sums of products of two spheres. These are obtained as special cases of a more general loop space decomposition of certain torsion-free $CW$-complexes with well-behaved skeleta and some Poincaré duality features.

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Piotr Beben, Stephen Theriault. 2014-06-03. The Loop Space Homotopy Type of Simply-connected Four-manifolds and their Generalizations. https://arxiv.org/abs/1406.0651

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