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Research Interests for Benoit Charbonneau

Research Interests: Gauge theory, more specifically Nahm transforms, Yang-Mills instantons, and their dimensional reductions

Keywords:
Gauge theory, Nahm transform, Periodic Yang-Mills instantons, Gravitational instantons
Recent Publications
  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 (Accepted, 2008), Oxford University Press [2412[abs]
  2. Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1, Comm. Math. Phys. (2008) [s00220-008-0468-7[abs] [author's comments]
  3. Benoit Charbonneau, Yuriy Svyrydov, and P.F. Tupper, Convergence in the Prokhorov Metric of Weak Methods for Stochastic Differential Equations (Submitted, 2007) [4466[abs]
  4. Benoit Charbonneau, From spatially periodic instantons to singular monopoles, Comm. Anal. Geom., vol. 14 no. 1 (2006), pp. 183--214 [MR2007c:53036], [0410561[abs]
  5. Benoit Charbonneau, Analytic aspects of periodic instantons (2004), Cambridge, MA, USA [pdf[author's comments]

dept@math.duke.edu
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Mathematics Department
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