The loop space homotopy type of simply-connected four-manifolds and their generalizations

DOI10.1016/j.aim.2014.05.015zbMath1296.55012arXiv1406.0651OpenAlexW2963212099MaRDI QIDQ2251887

Stephen D. Theriault, Piotr Beben

Publication date: 15 July 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0651

zbMATH Keywords

manifoldloop spacehomotopy decomposition

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Loop spaces (55P35) Algebraic topology of manifolds (57N65)

Related Items

The free loop space homology of \((n-1)\)-connected \(2n\)-manifolds ⋮ \(p\)-hyperbolicity of homotopy groups via \(K\)-theory ⋮ Loop space decompositions of \((2n-2)\)-connected \((4n-1)\)-dimensional Poincaré duality complexes ⋮ Unnamed Item ⋮ Homotopy of manifolds stabilized by projective spaces ⋮ Loop homotopy of 6-manifolds over 4-manifolds ⋮ The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold ⋮ Suspension homotopy of 6-manifolds ⋮ The homotopy types of moment-angle complexes for flag complexes ⋮ Homotopy groups of highly connected manifolds ⋮ Polyhedral products for connected sums of simplicial complexes ⋮ Mod \(p\) decompositions of the loop spaces of compact symmetric spaces ⋮ Homotopy groups of highly connected Poincaré duality complexes

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