Christoph Sachse: The diffeomorphism supergroup of a supermanifold

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We present a rather non-technical introduction to supergeometry and the problem of constructing a supergroup of diffeomorphisms for a given supermanifold. We briefly sketch the functor of points approach and its application to this problem. Finally we outline the resulting construction for a compact finite-dimensional supermanifold, where the diffeomorphism supergroup turns out to be a Fréchet supermanifold.

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