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arXiv · 2005.03073

Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities

Boris Botvinnik·Mark Walsh
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Abstract

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 $X_{\Sigma}$.

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BibTeXRIS

Boris Botvinnik, Mark Walsh. 2020-05-06. Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities. https://doi.org/10.3842/sigma.2021.034

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