Cosimplicial C-infinity rings and the de Rham complex of Euclidean space
Differential Geometry
2013-10-29 v1 Category Theory
Logic
Abstract
A C-infinity ring is a set equipped with n-ary operations corresponding to smooth n-ary functions on the real line (satisfying natural axioms). We prove that the cosimplicial abelian group associated to the de Rham complex of Euclidean space has the structure of a cosimplicial C-infinity ring. We also analyse the notion of R-module (following Quillen) for a (co-)simplicial C-infinity ring R.
Keywords
Cite
@article{arxiv.1310.7407,
title = {Cosimplicial C-infinity rings and the de Rham complex of Euclidean space},
author = {Herman Stel},
journal= {arXiv preprint arXiv:1310.7407},
year = {2013}
}
Comments
11 pages