The diffeomorphism supergroup of a finite-dimensional supermanifold
arXiv:0904.2726
Abstract
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.
arXiv comment39 pages, includes a detailed proof of the supersmoothness of group multiplication