Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms

2019/09/20 by Reiser, Philipp
#53C20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.09512

Abstract

Let M be a topological spherical space form, i.e. a smooth manifold whose universal cover is a homotopy sphere. We determine the number of path components of the space and moduli space of Riemannian metrics with positive scalar curvature on M if the dimension of M is at least 5 and M is not simply-connected.

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