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Communications in Mathematical Physics

, Volume 225, Issue 3, pp 639–668 | Cite as

Nahm Transform and Spectral Curves¶for Doubly-Periodic Instantons

  • Marcos Jardim

Abstract:

We present the Nahm transform of the doubly-periodic instantons (i.e. instantons on T 2×ℝ2), converting them into certain meromorphic solutions of Hitchin's equations over an elliptic curve. We then show how to construct a triple consisting of an algebraic curve plus a line bundle with connection over it from a doubly-periodic instanton, and that such data coincides with the Hitchin spectral data associated with the Nahm transformed Higgs bundle.

Keywords

Spectral Data Line Bundle Elliptic Curve Algebraic Curve Spectral Curf 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Marcos Jardim
    • 1
  1. 1.University of Pennsylvania, Department of Mathematics, Philadelphia, PA 19104-6593, USAUS

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