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    H-Space and Loop Space Structures for Intermediate Curvatures

    Walsh, Mark and Wraith, David (2020) H-Space and Loop Space Structures for Intermediate Curvatures. Communications in Contemporary Mathematics. pp. 1-37. ISSN 0219-1997

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    For dimensions n ≥ 3 and k ∈ {2, · · · , n}, we show that the space of metrics of k -positive Ricci curvature on the sphere S n has the structure of an H -space with a homotopy commutative, homotopy associative product operation. We further show, using the theory of operads and results of Boardman, Vogt and May that the path component of this space containing the round metric is weakly homotopy equivalent to an n-fold loop space.

    Item Type: Article
    Keywords: H-Space; Loop Space Structures; Intermediate Curvatures;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 17820
    Identification Number:
    Depositing User: Dr. David Wraith
    Date Deposited: 14 Nov 2023 10:38
    Journal or Publication Title: Communications in Contemporary Mathematics
    Publisher: World Scientific Publishing
    Refereed: Yes
    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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