The Kernel of Dirac Operators on S^{3} and R^{3}
Abstract
In this paper we describe an intrinsically geometric way of producing magnetic fields on S^{3} and R^{3} for which the corresponding Dirac operators have a nontrivial 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 given dimension. This generalizes the examples of Loss and Yau [1].
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2001
 DOI:
 10.1142/S0129055X01000983
 arXiv:
 arXiv:mathph/0001036
 Bibcode:
 2001RvMaP..13.1247E
 Keywords:

 Mathematical Physics;
 53A50;
 57R15;
 58G10;
 81Q05;
 81Q10
 EPrint:
 51 pages