The diffeomorphism supergroup of a finite-dimensional supermanifold

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.

Full Text (PDF format)

Published 9 May 2012