Walsh, Mark (2014) Metrics of positive scalar curvature and generalised Morse functions, Part II. Transactions of the American Mathematical Society, 366 (1). pp. 1-50. ISSN 0002-9947

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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.

Item Type:	Article
Keywords:	positive scalar curvature metrics; generalised Morse functions;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	10105
Identification Number:	https://doi.org/10.1090/S0002-9947-2013-05715-7
Depositing User:	Mark Walsh
Date Deposited:	16 Oct 2018 14:05
Journal or Publication Title:	Transactions of the American Mathematical Society
Publisher:	American Mathematical Society
Refereed:	Yes
URI:	http://www.ams.org/journals/tran

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