Record Details
Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics |
| Names |
Walsh, Mark
(creator) |
| Date Issued | 2013-07 (iso8601) |
| Note | This is the publisher’s final pdf. The published article is copyrighted by the American Mathematical Society and can be found at: http://www.ams.org/publications/journals/journalsframework/proc. |
| 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), 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 This result is originally due to V. Chernysh but remains unpublished. |
| Genre | Article |
| Identifier | Walsh, M. (2013). Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics. Proceedings of the American Mathematical Society, 141(7), 2475-2484. doi:10.1090/S0002-9939-2013-11647-3 |
