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arXiv · 1109.6878

Cobordism Invariance of the Homotopy Type of the Space of Positive Scalar Curvature Metrics

Mark Walsh
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Abstract

We show that the homotopy type of the space of metrics of positive scalar curvature on a smooth manifold remains unchanged, after application of surgery in codimension at least three to the underlying manifold. This result is originally due to V. Chernysh, but remains unpublished.

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Mark Walsh. 2011-09-30. Cobordism Invariance of the Homotopy Type of the Space of Positive Scalar Curvature Metrics. https://arxiv.org/abs/1109.6878

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