Surveys in Differential Geometry

Volume 16 (2011)

Lectures on generalized geometry

Pages: 79 – 124

DOI: http://dx.doi.org/10.4310/SDG.2011.v16.n1.a3

Author

Nigel Hitchin (Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB, United Kingdom)

Abstract

These notes are based on six lectures given in March 2010 at the Institute of Mathematical Sciences in the Chinese University of Hong Kong as part of the JCAS Lecture Series. They were mainly targeted at graduate students. They are not intended to be a comprehensive treatment of the subject of generalized geometry, but instead I have attempted to present the general features and to focus on a few topics which I have found particularly interesting and which I hope the reader will too. The relatively new material consists of an account of Goto’s existence theorem for generalized Kähler structures, examples of generalized holomorphic bundles and the B-field action on their moduli spaces.

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