Parametrized Morse Theory and Positive Scalar Curvature
Algebraic Topology
2017-05-09 v1 Differential Geometry
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1705.02754,
title = {Parametrized Morse Theory and Positive Scalar Curvature},
author = {Nathan Perlmutter},
journal= {arXiv preprint arXiv:1705.02754},
year = {2017}
}
Comments
51 Pages