(Super)-Gravities Beyond 4 Dimensions

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These lectures are intended as a broad introduction to Chern Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant action -in the sense of fiber bundles- in more than three dimensions, which could provide a firm ground for constructing a quantum theory of the gravitational field. The case of Chern-Simons gravity and its supersymmetric extension for all odd D is presented. No analogous construction is available in even dimensions.
54 pages, 5 figures. Lectures given at the 2001 Summer School "Geometric and Topological Methods for Quantum Field Theory", Villa de Leyva, Colombia, June 2001. Several typos and editorial mistakes corrected, references added

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