preprint available

Dear all, This is to announce the availability of a preprint "Infinitesimal cubical structure, and higher connections" The preprint can be downloaded from http://arxiv.org/abs/0705.4406 or from my home page http://home.imf.au.dk/kock/ 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 parallelepipeda. Yours Anders