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    Aspects of Positive Scalar Curvature and Topology I


    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
    URI:

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