Moment-angle manifolds and Panov's Problem
Moment-angle manifolds and Panov's Problem
We answer a problem posed by Panov, which is to describe the relationship between the wedge summands in a homotopy decomposition of the moment-angle complex corresponding to a disjoint union of k points and the connected sum factors in a diffeomorphism decomposition of the moment-angle manifold corresponding to the simple polytope obtained by making k vertex cuts on a standard d-simplex. This establishes a bridge between two very different approaches to moment-angle manifolds.
10154-10175
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
2015
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2015)
Moment-angle manifolds and Panov's Problem.
International Mathematics Research Notices, 2015 (20), .
(doi:10.1093/imrn/rnu281).
Abstract
We answer a problem posed by Panov, which is to describe the relationship between the wedge summands in a homotopy decomposition of the moment-angle complex corresponding to a disjoint union of k points and the connected sum factors in a diffeomorphism decomposition of the moment-angle manifold corresponding to the simple polytope obtained by making k vertex cuts on a standard d-simplex. This establishes a bridge between two very different approaches to moment-angle manifolds.
Text
Panov's problem revised.pdf
- Accepted Manuscript
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Accepted/In Press date: 22 December 2014
e-pub ahead of print date: 17 January 2015
Published date: 2015
Organisations:
Pure Mathematics
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Local EPrints ID: 396694
URI: http://eprints.soton.ac.uk/id/eprint/396694
ISSN: 1687-0247
PURE UUID: 32d8b3d1-1024-4d1b-8652-429055202b47
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Date deposited: 13 Jun 2016 13:31
Last modified: 15 Mar 2024 03:45
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