Holomorphic symplectic Morita equivalence and the generalized Kahler potential

          @misc{ pirsa_PIRSA:17020019,
            doi = {10.48660/17020019},
            url = {https://pirsa.org/17020019},
            author = {Gualtieri, Marco},
            keywords = {Mathematical physics},
            language = {en},
            title = {Holomorphic symplectic Morita equivalence and the generalized Kahler potential},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020019 see, \url{https://pirsa.org}}
          }
          

Abstract

Since the introduction of generalized Kahler geometry in 1984 by Gates, Hull, and Rocek in the context of two-dimensional supersymmetric sigma models, we have lacked a compelling picture of the degrees of freedom inherent in the geometry. In particular, the description of a usual Kahler structure in terms of a complex manifold together with a Kahler potential function is not available for generalized Kahler structures, despite many positive indications in the literature over the last decade. I will explain recent work showing that a generalized Kahler structure may be viewed in terms of a Morita equivalence between holomorphic Poisson manifolds; this allows us to solve the problem of existence of a generalized Kahler potential.