Harmonic spinors on the Davis hyperbolic 4-manifold

被引：2

作者：

Ratcliffe, John G. ^{[1
]}

Ruberman, Daniel ^{[2
]}

Tschantz, Steven T. ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[2] Brandeis Univ, Dept Math, Waltham, MA 02445 USA

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2021年 / 13卷 / 03期

关键词：

Hyperbolic; 4-manifold; Dirac operator; harmonic spinor; Davis manifold; INDEX;

D O I：

10.1142/S1793525320500247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the G-spin theorem to show that the Davis hyperbolic 4-manifold admits harmonic spinors. This is the first example of a closed hyperbolic 4-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 G-spin theorem for an isometry, with isolated fixed points, of a closed spin hyperbolic 2- or 4-manifold.

引用

页码：699 / 737

页数：39

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