Lectures on generalized geometry (Q2914212)

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scientific article; zbMATH DE number 6085992
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Lectures on generalized geometry
scientific article; zbMATH DE number 6085992

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    25 September 2012
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    generalized tangent bundle
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    Courant bracket
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    generalized complex manifold
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    generalized holomorphic bundle
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    B-field
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    math.DG
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    Lectures on generalized geometry (English)
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    The aim of these notes is to present the general features of the author's generalized geometry and to focus on a few topics particularly interesting. ``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.''NEWLINENEWLINEThe structure of the paper is the following: 1. the Courant bracket; B-fields and metrics; 2. spinors, twists and skew torsion; 3. generalized complex manifolds; 4. generalized Kähler manifolds; 5. generalized holomorphic bundles; 6. holomorphic bundles and the B-field action.NEWLINENEWLINEFor the entire collection see [Zbl 1230.53007].
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