Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere
Christian Ausoni
Bjørn Ian Dundas
John Rognes
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Abstract
We show that when the gerbe representing a magnetic monopole is viewed as a virtual 2-vector bundle, then it decomposes, modulo torsion, as two times a virtual 2-vector bundle . We therefore interpret as representing half a magnetic monopole, or a semipole.
Cite this article
Christian Ausoni, Bjørn Ian Dundas, John Rognes, Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere. Doc. Math. 13 (2008), pp. 795–801
DOI 10.4171/DM/260