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Supergravity by Daniel Z. Freedman, Antoine Van Proeyen

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images

The material of this chapter is largely mathematical, although we will include several physically motivated examples of the geometric constructions. The major prerequisite is Ch. 7 on the differential geometry of real manifolds. A complex manifold is a real manifold of even dimension 2n on which one can choose n complex coordinates images in a smooth fashion. More rigorously there is a cover of M2n by open sets UI. On each UI there is a 1 : 1 continuous map , where . On intersections the compound maps are analytic. It is not always possible to define ...

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