Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere
Documenta mathematica, Tome 13 (2008), pp. 795-801
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.
Classification :
19D50, 55P43, 81S10, 81T40
Mots-clés : gerbe, magnetic monopole, two-vector bundle, higher algebraic K-theory, topological Hochschild homology
Mots-clés : gerbe, magnetic monopole, two-vector bundle, higher algebraic K-theory, topological Hochschild homology
@article{10_4171_dm_260,
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/}
}
TY - JOUR AU - Christian Ausoni AU - John Rognes AU - Bjørn Ian Dundas TI - Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere JO - Documenta mathematica PY - 2008 SP - 795 EP - 801 VL - 13 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/260/ DO - 10.4171/dm/260 ID - 10_4171_dm_260 ER -
%0 Journal Article %A Christian Ausoni %A John Rognes %A Bjørn Ian Dundas %T Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere %J Documenta mathematica %D 2008 %P 795-801 %V 13 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/260/ %R 10.4171/dm/260 %F 10_4171_dm_260
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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