Record Details
Metrics of positive scalar curvature and generalised Morse functions, Part II
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Metrics of positive scalar curvature and generalised Morse functions, Part II |
| Names |
Walsh, Mark
(creator) |
| Date Issued | 2014-01 (iso8601) |
| Note | First published in Transactions of the American Mathematical Society in Vol. 366 no. 1, published by the American Mathematical Society. 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/tran. |
| Abstract | The surgery technique of Gromov and Lawson may be used to construct families of positive scalar curvature metrics which are parameterised by Morse functions. This has played an important role in the study of the space of metrics of positive scalar curvature on a smooth manifold and its corresponding moduli spaces. In this paper, we extend this technique to work for families of generalised Morse functions, i.e. smooth functions with both Morse and birth-death singularities. |
| Genre | Article |
| Identifier | Walsh, M. (2014). Metrics of positive scalar curvature and generalised Morse functions, Part II. Transactions of the American Mathematical Society, 366(1), 1-50. doi:10.1090/S0002-9947-2013-05715-7 |
