Smooth coalgebras
Mathematical Physics
2008-11-06 v1 High Energy Physics - Theory
math.MP
Abstract
A complete mathematical framework for coalgebraic formulation of supergeometry and its infinite-dimensional extension is proposed. Within this approach a supermanifold is defined as a graded coalgebra endowed with a smooth structure. The category of such coalgebras is constructed and analysed. It is shown that it contains as its full subcategories both the category of smooth Fr\'{e}chet manifolds and the category of finite-dimensional Berezin-Leites-Kostant supermanifolds.
Cite
@article{arxiv.physics/9712045,
title = {Smooth coalgebras},
author = {Z. Jaskolski},
journal= {arXiv preprint arXiv:physics/9712045},
year = {2008}
}
Comments
LaTeX, 60 pages