Divisibility of the Dirac Magnetic Monopole as a Two-Vector Bundle over the Three-Sphere
We show that when the gerbe $\mu$ 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 $\varsigma$. We therefore interpret $\varsigma$ as representing half a magnetic monopole, or a semipole.
2000 Mathematics Subject Classification: 19D50, 55P43, 81S10, 81T40.
Keywords and Phrases: magnetic monopole, gerbe, two-vector bundle, higher algebraic $K$-theory, topological Hochschild homology.
Full text: dvi.gz 13 k, dvi 29 k, ps.gz 512 k, pdf 100 k.
Home Page of DOCUMENTA MATHEMATICA