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Instantons and mirror K3 surfaces

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Abstract

The instanton moduli space of a real 4-dimensional torus is an 8-dimensional Calabi-Yau manifold. Associated to this Calabi-Yau manifold are two (singular) K3 surfaces, one a quotient, the other a submanifold of the moduli space; both carry a natural Calabi-Yau metric. They are curiously related in much the same way as special examples of complex 3-dimensional mirror manifolds; however, in our case the “mirror” is present in the form of instanton moduli.

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Authors and Affiliations

  1. Steklov Institute, Moscow, USSR

    Fedor Bogomolov

  2. University of Oxford, Oxford, England

    Peter J. Braam

  3. University of Utah, Salt Lake City, USA

    Peter J. Braam

Authors
  1. Fedor Bogomolov
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  2. Peter J. Braam
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Communicated by A. Jaffe

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Bogomolov, F., Braam, P.J. Instantons and mirror K3 surfaces. Commun.Math. Phys. 143, 641–646 (1992). https://doi.org/10.1007/BF02099270

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  • DOI: https://doi.org/10.1007/BF02099270

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