Quaternionic Kähler Moduli Spaces

  • Nigel Hitchin
Part of the Progress in Mathematics book series (PM, volume 271)


We describe in differential-geometric language a class of naturally occurring quaternionic Kähler moduli spaces due originally to the physicists Ferrara and Sabharwal. This class yields an example in real dimension 4n for every projective special Kähler manifold of real dimension 2n-2 and can be applied in particular to the case of the moduli space of complex structures on a Calabi—Yau threefold.


Modulus Space Line Bundle Tangent Bundle Heisenberg Group Symplectic Form 
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Copyright information

© Birkhäuser Boston, a part of Springer Science+Business Media LLC 2009

Authors and Affiliations

  • Nigel Hitchin
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordU.K.

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