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arxiv: 0904.2726 · v2 · pith:AS5UZRJ7new · submitted 2009-04-17 · 🧮 math.DG · math-ph· math.MP

The diffeomorphism supergroup of a finite-dimensional supermanifold

classification 🧮 math.DG math-phmath.MP
keywords diffeomorphismsupergroupsupermanifoldconstructionfinite-dimensionalstructureadditioncategorical
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Using the categorical description of supergeometry we give an explicit construction of the diffeomorphism supergroup of a compact finite-dimensional supermanifold. The construction provides the diffeomorphism supergroup with the structure of a Frechet supermanifold. In addition, we derive results about the structure of diffeomorphism supergroups.

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