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Botvinnik, Boris, Hanke, Bernhard, Schick, Thomas and Walsh, Mark (2014) Homotopy groups of the moduli space of metrics of positive scalar curvature. Geometry & Topology, 14 (4). pp. 2047-2076. ISSN 1465-3060
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Abstract
We show by explicit examples that in many degrees in a stable range the homotopy groups of the moduli spaces of Riemannian metrics of positive scalar curvature on closed smooth manifolds can be non-trivial. This is achieved by further developing and then applying a family version of the surgery construction of Gromov–Lawson to certain nonlinear smooth sphere bundles constructed by Hatcher.
| Item Type: | Article |
|---|---|
| Keywords: | positive scalar curvature metrics; classifying space of a diffeomorphism group; Gromov–Lawson surgery parametrized by a Morse function; rational homotopy type; Hatcher map; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10106 |
| Identification Number: | 10.2140/gt.2010.14.2047 |
| Depositing User: | Mark Walsh |
| Date Deposited: | 16 Oct 2018 14:17 |
| Journal or Publication Title: | Geometry & Topology |
| Publisher: | Mathematical Sciences Publishers (MSP) |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10106 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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