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
|
Download (183kB)
| Preview
|
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 This result is originally due to V. Chernysh but remains unpublished.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: |
Repository Staff Only(login required)
![]() |
Item control page |
Downloads
Downloads per month over past year