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Botvinnik, Boris and Walsh, Mark G. (2021) Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities. Symmetry, Integrability and Geometry : Methods and Applications. ISSN 1815-0659
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Abstract
In this paper we study manifolds, XΣ, with fibred singularities, more specifically, a relevant space Rpsc(XΣ)
of Riemannian metrics with positive scalar curvature. Our main goal is to prove that the space Rpsc(XΣ) is homotopy invariant under certain surgeries on XΣ.
| Item Type: | Article |
|---|---|
| Additional Information: | Cite as:Botvinnik, B., Walsh, M.G., 2021. Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities. Symmetry, Integrability and Geometry: Methods and Applications.. https://doi.org/10.3842/sigma.2021.034 |
| Keywords: | positive scalar curvature metrics; manifolds with singularities; surgery; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 17990 |
| Identification Number: | 10.3842/sigma.2021.034 |
| Depositing User: | Mark Walsh |
| Date Deposited: | 04 Jan 2024 14:48 |
| Journal or Publication Title: | Symmetry, Integrability and Geometry : Methods and Applications |
| Refereed: | Yes |
| 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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