Bihermitian Metrics and Poisson Deformations

Joint IAS-PU Symplectic Geometry Seminar
Topic:Bihermitian Metrics and Poisson Deformations
Speaker:Nigel Hitchin
Affiliation:Oxford University
Date:Friday, December 9
Time/Room:4:30pm - 5:30pm/Fine Hall -- Room 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.