Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere
Documenta mathematica, Tome 13 (2008), pp. 795-801
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We show that when the gerbe μ 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 ς. We therefore interpret ς as representing half a magnetic monopole, or a semipole.
DOI : 10.4171/dm/260
Classification : 19D50, 55P43, 81S10, 81T40
Mots-clés : gerbe, magnetic monopole, two-vector bundle, higher algebraic K-theory, topological Hochschild homology
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     author = {Christian Ausoni and John Rognes and Bj{\o}rn Ian Dundas},
     title = {Divisibility of the {Dirac} magnetic monopole as a two-vector bundle over the three-sphere},
     journal = {Documenta mathematica},
     pages = {795--801},
     year = {2008},
     volume = {13},
     doi = {10.4171/dm/260},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/260/}
}
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Christian Ausoni; John Rognes; Bjørn Ian Dundas. Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere. Documenta mathematica, Tome 13 (2008), pp. 795-801. doi: 10.4171/dm/260

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