Math @ Duke

Publications [#166348] of Benoit Charbonneau
Papers Published
 Benoit Charbonneau and Jacques Hurtubise, The Nahm transform for calorons,
in The many facets of geometry: a tribute to Nigel Hitchin, edited by JeanPierre Bourguignon, Oscar GarciaPrada and Simon Salamon
(July, 2010), Oxford University Press, ISBN 9780199534920 [2412]
(last updated on 2011/01/04)
Abstract: 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


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