Infinitesimal cubical structure, and higher connections
Category Theory
2007-05-31 v1
Abstract
In the context of Synthetic Differential Geometry, we describe a notion of higher connection with values in a cubical groupoid. We do this by exploiting a certain structure of cubical complex derived from the first neighbourhood of the diagonal of a manifold. This cubical complex consists of infinitesimal parallelelpipeda.
Keywords
Cite
@article{arxiv.0705.4406,
title = {Infinitesimal cubical structure, and higher connections},
author = {Anders Kock},
journal= {arXiv preprint arXiv:0705.4406},
year = {2007}
}