Harmonic spinors on the Davis hyperbolic 4-manifold-Reference-Cited by-同舟云学术

Harmonic spinors on the Davis hyperbolic 4-manifold

Published:2019-07-30 Issue:03 Volume:13 Page:699-737
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Ratcliffe John G.¹,Ruberman Daniel²^ORCID,Tschantz Steven T.¹

Affiliation:

1. Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

2. Department of Mathematics, Brandeis University, Waltham, MA 02445, USA

Abstract

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.

Funder

Directorate for Mathematical and Physical Sciences

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525320500247

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