Generalized geometry – an introduction

  • Nigel Hitchin

    University of Oxford, United Kingdom
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“Generalized geometry” is an approach to differential geometric structures which seems remarkably well-adapted to some of the concepts in String Theory and Supergravity, for example: 3-form flux, gauged sigma-models, D-branes, connections with skew torsion. It also incorporates in a natural way the role of the B-field as a symmetry. Here we shall offer an introduction to this geometry and a few of its applications, showing how in particular some relatively old results in the physics literature acquire a natural meaning within this new setting.