The kernel of Dirac operators on S3 and R3

L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.

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Abstract
In this paper we describe an intrinsically geometric way of producing magnetic fields on S3 and R3 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 [1].
Publishing Year
Date Published
2001-10-01
Journal Title
Reviews in Mathematical Physics
Volume
13
Issue
10
Page
1247 - 1280
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Erdös L, Solovej J. The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics. 2001;13(10):1247-1280. doi:10.1142/S0129055X01000983
Erdös, L., & Solovej, J. (2001). The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics, 13(10), 1247–1280. https://doi.org/10.1142/S0129055X01000983
Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” Reviews in Mathematical Physics 13, no. 10 (2001): 1247–80. https://doi.org/10.1142/S0129055X01000983.
L. Erdös and J. Solovej, “The kernel of Dirac operators on S3 and R3,” Reviews in Mathematical Physics, vol. 13, no. 10, pp. 1247–1280, 2001.
Erdös L, Solovej J. 2001. The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics. 13(10), 1247–1280.
Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” Reviews in Mathematical Physics, vol. 13, no. 10, World Scientific Publishing, 2001, pp. 1247–80, doi:10.1142/S0129055X01000983.

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