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

Boris Botvinnik, Mark Walsh

In this paper we study manifolds, $X_{\Sigma }$, with fibred singularities, more specifically, a relevant space ${\mathcal{R}}^{\mathrm{psc}}(X_{\Sigma })$ of Riemannian metrics with positive scalar cur…