From spatially periodic instantons to singular monopoles

The main result is a computation of the Nahm transform of a $\SUt$-instanton over $\R\times T^3$, called spatially-periodic instanton. It is a singular monopole over $T^3$, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is described.

Full Text (PDF format)

Published 1 January 2006