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Walsh, Mark (2017) Aspects of Positive Scalar Curvature and Topology I. Irish Mathematical Society Bulletin, 80. pp. 45-68. ISSN 0791-5578
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Abstract
Whether or not a smooth manifold admits a Riemannian metric whose scalar curvature function is strictly positive is a problem which has been extensively studied by geometers and topologists alike. More recently, attention has shifted to another intriguing problem. Given a smooth manifold which admits metrics of positive scalar curvature, what can we say about the topology of the space of such metrics? We provide a brief survey, aimed at the non-expert, which is intended to provide a gentle introduction to some of the work done on these deep questions.
| Item Type: | Article |
|---|---|
| Keywords: | Riemannian metrics of positive scalar curvature; spin manifolds; surgery; cobordism; Morse functions; loop spaces; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10107 |
| Depositing User: | Mark Walsh |
| Date Deposited: | 16 Oct 2018 14:50 |
| Journal or Publication Title: | Irish Mathematical Society Bulletin |
| Publisher: | Irish Mathematical Society |
| Refereed: | Yes |
| Funders: | Simons Foundation Collaboration |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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