Introduction to Generalized Kahler Geometry II

Introduction to Generalized Kahler Geometry II

Explore the intricacies of generalized Kähler geometry in this advanced mathematics lecture. Delve into the equivalence between generalized Kähler and bihermitian structures, focusing initially on key features in four dimensions before expanding to higher-dimensional applications. Examine the connections with holomorphic Poisson geometry and investigate analogs of standard Kähler properties, including the existence of local Kähler potential and stability under small deformations in the generalized setting. Gain a deeper understanding of this complex mathematical topic through the expertise of Gueo Grantcharov from Florida International University.