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arXiv · 1705.02754

Parametrized Morse Theory and Positive Scalar Curvature

Nathan Perlmutter
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Abstract

We use the cobordism category constructed in arXiv:1703.01047 to the study the homotopy type of the space of positive scalar curvature metrics on a spin manifold of dimension > 4. Our methods give an alternative proof and extension of a recent theorem of Botvinnik, Ebert, and Randal-Williams from arXiv:1411.7408.

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Nathan Perlmutter. 2017-05-08. Parametrized Morse Theory and Positive Scalar Curvature. https://arxiv.org/abs/1705.02754

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