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arxiv: math/0503432 · v1 · submitted 2005-03-21 · 🧮 math.DG · hep-th

Instantons, Poisson structures and generalized Kaehler geometry

Nigel Hitchin This is my paper
classification 🧮 math.DG hep-th
keywords generalizedstructureskaehlerpoissonprojectivestructureanti-self-dualbihermitian
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Using the idea of a generalized Kaehler structure, which is a pair of commuting generalized complex structures, we construct bihermitian metrics on the projective plane and the product of two projective lines, 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.

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