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

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

2011-09-30

arxiv.org/abs/1109.6878v1

Mathematics

Differential Geometry

10 pages, 3 figures

Scientific paper

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originally due to V. Chernysh, but remains unpublished.

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