The kernel of dirac operators on S-3 and R-3

Authors
Erdos, L Solovej, JP
Citation
L. Erdos et Jp. Solovej, The kernel of dirac operators on S-3 and R-3, REV MATH PH, 13(10), 2001, pp. 1247-1280
Citations number
12
Categorie Soggetti
Physics
Journal title
REVIEWS IN MATHEMATICAL PHYSICS
ISSN journal
0129055X → ACNP
Volume
13
Issue
10
Year of publication
2001
Pages
1247 - 1280
Database
ISI
SICI code
0129-055X(200110)13:10<1247:TKODOO>2.0.ZU;2-Q
Abstract
In this paper we describe an intrinsically geometric way of producing magne tic fields on S-3 and R-3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able to compute the dimension of the kernel. In particular we can give examples where the kernel has any gi ven dimension. This generalizes the examples of Loss and Yau [1].