The kernel of Dirac operators on $§^3$ and $\R^3$

Details The kernel of Dirac operators on $§^3$ and $\R^3$ The kernel of Dirac operators on $§^3$ and $\R^3$

2000-01-24

arxiv.org/abs/math-ph/0001036v1

Physics

Mathematical Physics

51 pages

Scientific paper

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 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 given dimension. This generalizes the examples of Loss and Yau (Commun. Math. Phys. 104 (1986) 283-290).

Affiliated with

Also associated with

No associations

Rating

The kernel of Dirac operators on $§^3$ and $\R^3$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The kernel of Dirac operators on $§^3$ and $\R^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The kernel of Dirac operators on $§^3$ and $\R^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729777