Publications [#138706] of Benoit Charbonneau

Papers Accepted

1. Benoit Charbonneau and Jacques Hurtubise, The Nahm transform for calorons, in The many facets of geometry: a tribute to Nigel Hitchin, edited by Jean-Pierre Bourguignon, Oscar Garcia-Prada and Simon Salamon (March, 2010), Oxford University Press, ISBN 978-0-19-953492-0 [2412]
   (last updated on 2009/11/27)

   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