The diffeomorphism supergroup of a finite-dimensional supermanifold
Differential Geometry
2013-02-14 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0904.2726,
title = {The diffeomorphism supergroup of a finite-dimensional supermanifold},
author = {Christoph Sachse and Christoph Wockel},
journal= {arXiv preprint arXiv:0904.2726},
year = {2013}
}
Comments
39 pages, includes a detailed proof of the supersmoothness of group multiplication