Abstract
We define and study connections on principal sheaves locally isomorphic to appropriate sheaves of groups. Their relationship with connections on principal fibre bundles, connections on vector sheaves (in the sense of [13]) and the early ideas of [1] is also investigated. Only sheaf-theoretic methods are employed, without any differentiability. This enlarges the framework of the classical geometry to non-smooth spaces and might be of interest to modern physics.
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Vassiliou, E. (1999). Connections on Principal Sheaves. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_33
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DOI: https://doi.org/10.1007/978-94-011-5276-1_33
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