Infinitesimal cubical structure, and higher connections

Details Infinitesimal cubical structure, and higher connections Infinitesimal cubical structure, and higher connections

2007-05-30

arxiv.org/abs/0705.4406v1

Mathematics

Category Theory

31 pages

Scientific paper

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.

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