Differential forms on $C^\infty$-ringed spaces
Differential Geometry
2024-01-04 v3
Abstract
We construct a complex of differential forms on a local -ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and -schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds.
Cite
@article{arxiv.2212.11163,
title = {Differential forms on $C^\infty$-ringed spaces},
author = {Eugene Lerman},
journal= {arXiv preprint arXiv:2212.11163},
year = {2024}
}
Comments
v3: 38 pages. Paper shortened by removal of expository material