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Walsh, Mark (2013) Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics. Proceedings of the American Mathematical Society, 141 (7). pp. 2475-2484. ISSN 1088-6826
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Abstract
Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem+(X) and Riem+(Y) and, respectively consisting of Riemannian metrics of positive scalar curvature on X and Y, are homotopy equivalent. This result is originally due to V. Chernysh but remains unpublished.
| Item Type: | Article |
|---|---|
| Keywords: | Cobordism invariance; homotopy type; positive scalar curvature metrics; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10104 |
| Identification Number: | 10.1090/S0002-9939-2013-11647-3 |
| Depositing User: | Mark Walsh |
| Date Deposited: | 16 Oct 2018 13:51 |
| Journal or Publication Title: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10104 |
| 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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