Bihermitian metrics and Poisson deformations

Bihermitian metrics and Poisson deformations

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Nigel Hitchin, Oxford University and Simons Center
Fine Hall 322

A bihermitian metric (or generalized Kahler structure) involves a pair of complex structures and a metric compatible with both. The study of these is closely related to that of holomorphic Poisson structures on a manifold. A deformation theorem for such complex Poisson manifolds leads to a concrete description of certain pairs of complex structures and we show how these can generate bihermitian metrics.