Generalized Kähler geometry
From MaRDI portal
Publication:398746
DOI10.1007/S00220-014-1926-ZzbMATH Open1304.53080arXiv1007.3485OpenAlexW2083067403MaRDI QIDQ398746
Author name not available (Why is that?)
Publication date: 15 August 2014
Published in: (Search for Journal in Brave)
Abstract: Generalized Kahler geometry is the natural analogue of Kahler geometry, in the context of generalized complex geometry. Just as we may require a complex structure to be compatible with a Riemannian metric in a way which gives rise to a symplectic form, we may require a generalized complex structure to be compatible with a metric so that it defines a second generalized complex structure. We explore the fundamental aspects of this geometry, including its equivalence with the bi-Hermitian geometry on the target of a 2-dimensional sigma model with (2,2) supersymmetry, as well as the relation to holomorphic Dirac geometry and the resulting derived deformation theory. We also explore the analogy between pre-quantum line bundles and gerbes in the context of generalized Kahler geometry.
Full work available at URL: https://arxiv.org/abs/1007.3485
No records found.
No records found.
This page was built for publication: Generalized Kähler geometry
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q398746)
