Metrics of positive scalar curvature and generalised Morse functions, Part II

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/jw827d535

Descriptions

Attribute Name	Values
Creator	Walsh, Mark
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. 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
Resource Type	Article
DOI	https://doi.org/10.1090/S0002-9947-2013-05715-7
Date Available	2014-03-04T21:24:58+00:00
Date Issued	2014-01
Citation	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
Journal Title	Transactions of the American Mathematical Society
Journal Volume	366
Journal Issue/Number	1
Déclaration de droits	In Copyright
Publisher	American Mathematical Society
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/46373