The Nahm transform for calorons
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In this paper, we complete the proof of an equivalence given by Nye and Singer of the equivalence between calorons (instantons on $S^1\times R^3$) and solutions to Nahm's equations over the circle, both satisfying appropriate boundary conditions. Many of the key ingredients are provided by a third way of encoding the same data which involves twistors and complex geometry.
Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday
Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday