From spatially periodic instantons to singular monopoles

Details From spatially periodic instantons to singular monopoles From spatially periodic instantons to singular monopoles

2004-10-26

arxiv.org/abs/math/0410561v2

Comm. Anal. Geom. 14 (2006) 1-32

Mathematics

Differential Geometry

23 pages. Major revision: proofs added for Lemma 4.1, Theorem 4.2, and Corollary 6.3, and many typos corrected

Scientific paper

The main result is a computation of the Nahm transform of a SU(2)-instanton
over RxT^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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