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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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Abstract
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: | 10.1142/s0219199722500171 |
| 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/17820 |
| 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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