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

The loop space homotopy type of simply-connected four-manifolds and their generalizations
The loop space homotopy type of simply-connected four-manifolds and their generalizations
We determine loop space decompositions of simply-connected four-manifolds, (n-1)-connected 2n-dimensional manifolds provided ∉ {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.
0001-8708
213-238
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Beben, Piotr and Theriault, Stephen (2014) The loop space homotopy type of simply-connected four-manifolds and their generalizations. Advances in Mathematics, 262, 213-238. (doi:10.1016/j.aim.2014.05.015).

Record type: Article

Abstract

We determine loop space decompositions of simply-connected four-manifolds, (n-1)-connected 2n-dimensional manifolds provided ∉ {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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Accepted/In Press date: 2014
e-pub ahead of print date: 3 June 2014
Published date: 10 September 2014
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 365615
URI: https://eprints.soton.ac.uk/id/eprint/365615
ISSN: 0001-8708
PURE UUID: 9aca968f-e233-4f5b-803e-e7c967cc2198
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 10 Jun 2014 15:10
Last modified: 29 Oct 2019 01:39

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