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Title: Harmonic spinors on the Davis hyperbolic 4-manifold
In this paper, we use the [Formula: see text]-spin theorem to show that the Davis hyperbolic 4-manifold admits harmonic spinors. This is the first example of a closed hyperbolic [Formula: see text]-manifold that admits harmonic spinors. We also explicitly describe the spinor bundle of a spin hyperbolic 2- or 4-manifold and show how to calculated the subtle sign terms in the [Formula: see text]-spin theorem for an isometry, with isolated fixed points, of a closed spin hyperbolic 2- or 4-manifold.  more » « less
Award ID(s):
1811111
PAR ID:
10323600
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of Topology and Analysis
Volume:
13
Issue:
03
ISSN:
1793-5253
Page Range / eLocation ID:
699 to 737
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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