Communications in Mathematical Physics

, Volume 143, Issue 3, pp 641–646 | Cite as

Instantons and mirror K3 surfaces

  • Fedor Bogomolov
  • Peter J. Braam


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.


Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Fedor Bogomolov
    • 1
  • Peter J. Braam
    • 2
    • 3
  1. 1.Steklov InstituteMoscowUSSR
  2. 2.University of OxfordOxfordEngland
  3. 3.University of UtahSalt Lake CityUSA

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