Differential forms on diffeological spaces and diffeological gluing, I
Differential Geometry
2025-03-26 v5
Abstract
This paper aims to describe the behavior of diffeological differential forms under the operation of gluing of diffeological spaces along a smooth map. In the diffeological context, two ways of looking at diffeological forms are available, that of the vector space of all diffeological forms on a given space, and that of the pseudo-bundle of values of these forms. We describe the behavior of the former under a gluing of diffeological spaces.
Cite
@article{arxiv.1605.07328,
title = {Differential forms on diffeological spaces and diffeological gluing, I},
author = {Ekaterina Pervova},
journal= {arXiv preprint arXiv:1605.07328},
year = {2025}
}
Comments
Various minor corrections, exposition reorganized for readability, a new section added