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Suspension homotopy of
$6$–manifolds
Ruizhi Huang |
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Algebraic & Geometric Topology 23 (2023) 439–460
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Abstract |
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For a simply connected closed orientable manifold of dimension , we compute its homotopy decomposition after double suspension. This allows us to determine its – and –groups easily. Moreover, in a special case we refine the decomposition to show the rigidity property of the manifold after double suspension. |
Keywords
$6$–manifolds, homotopy decomposition, loop spaces,
coformal spaces, homotopy groups, Poincaré duality space,
$K$–groups
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Mathematical Subject Classification
Primary: 55P15, 55P40, 57R19
Secondary: 55N15, 55P10
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References |
Publication
Received: 15 April 2021
Revised: 27 September 2021
Accepted: 30 October 2021
Published: 27 March 2023
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Authors |
| Ruizhi Huang | |
| Institute of Mathematics Chinese Academy of Sciences Beijing China |
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| https://sites.google.com/site/hrzsea/ | |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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