A note on invertibility of the Dirac operator twisted with Hilbert-A-module coefficients
Differential Geometry
2021-02-03 v2 Geometric Topology
Abstract
Given a closed connected spin manifold M with non-negative and somewhere positive scalar curvature, we show that the Dirac operator twisted with any flat Hilbert module bundle is invertible.
Keywords
Cite
@article{arxiv.2101.03595,
title = {A note on invertibility of the Dirac operator twisted with Hilbert-A-module coefficients},
author = {Thomas Schick},
journal= {arXiv preprint arXiv:2101.03595},
year = {2021}
}
Comments
3 pages. v2: inaccuracies corrected