Advances in Theoretical and Mathematical Physics
Volume 15 (2011)
The diffeomorphism supergroup of a finite-dimensional supermanifold
Pages: 285 – 323
Using the categorical description of supergeometry we give an explicit construction of the diffeomorphism supergroup of a compact finitedimensional supermanifold. The construction provides the diffeomorphism supergroup with the structure of a Fréchet supermanifold. In addition, we derive results about the structure of diffeomorphism supergroups.