From spatially periodic instantons to singular monopoles
Abstract
Description
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.
23 pages. Major revision: proofs added for Lemma 4.1, Theorem 4.2, and Corollary 6.3, and many typos corrected
23 pages. Major revision: proofs added for Lemma 4.1, Theorem 4.2, and Corollary 6.3, and many typos corrected