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arXiv · 0705.4406

Infinitesimal cubical structure, and higher connections

Anders Kock
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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.

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Anders Kock. 2007-05-30. Infinitesimal cubical structure, and higher connections. https://arxiv.org/abs/0705.4406

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