Communications in Mathematical Physics

, Volume 265, Issue 1, pp 131–164 | Cite as

Instantons, Poisson Structures and Generalized Kähler Geometry

  • Nigel HitchinEmail author


Using the idea of a generalized Kähler structure, we construct bihermitian metrics on CP2 and CP1×CP1, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M. We highlight the role of holomorphic Poisson structures in all these constructions.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Modulus Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Mathematical InstituteOxfordUK

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