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
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 This result is originally due to V. Chernysh but remains unpublished.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: |
https://doi.org/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 |
| URI: |
|
| 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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