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Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we study manifolds, $X_{\Sigma}$, with fibred singularities, more specifically, a relevant space ${\mathcal R}^{\rm psc}(X_{\Sigma})$ of Riemannian metrics with positive scalar curvature. Our main goal is to prove that the space ${\mathcal R}^{\rm psc}(X_{\Sigma})$ is homotopy invariant under certain surgeries on $X_{\Sigma}$.
Keywords: positive scalar curvature metrics, manifolds with singularities, surgery. 
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Boris Botvinnik; Mark G. Walsh. Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a33/

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