Infinitesimal cubical structure, and higher connections

2007/05/30 by Anders Kock, Kock, Anders
Mathematics · Physics and Astronomy · #18D05 #22A22 #51K10 #Advanced Topics in Algebra #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.CT #msc:18D05 #msc:22A22 #msc:51K10

paper · pdf · doi:10.48550/arxiv.0705.4406

31 pages

arxiv created 2007/05/30 · openalex publication_date 2007/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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