The diffeomorphism supergroup of a finite-dimensional supermanifold

Details The diffeomorphism supergroup of a finite-dimensional supermanifold The diffeomorphism supergroup of a finite-dimensional supermanifold

2009-04-17

arxiv.org/abs/0904.2726v2

Mathematics

Differential Geometry

39 pages, includes a detailed proof of the supersmoothness of group multiplication

Scientific paper

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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