Communications in Analysis and Geometry

Volume 14 (2006)

Number 1

From spatially periodic instantons to singular monopoles

Pages: 183 – 214

DOI: http://dx.doi.org/10.4310/CAG.2006.v14.n1.a8

Author

Benoit Charbonneau

Abstract

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.

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