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Spatially periodic instantons: Nahm transform and moduli

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 نشر من قبل Benoit Charbonneau
 تاريخ النشر 2017
  مجال البحث
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This paper establishes that the Nahm transform sending spatially periodic instantons (instantons on the product of the real line and a three-torus) to singular monopoles on the dual three-torus is indeed a bijection as suggested by the heuristic. In the process, we show how the Nahm transform intertwines to a Fourier-Mukai transform via Kobayashi-Hitchin correspondences. We also prove existence and non-existence results.



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