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
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: |
https://doi.org/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 |
| URI: |
|
| 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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