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Homotopies and automorphisms of crossed modules of groupoids

R. Brown·I. Icen
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Abstract

We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilbert for the case of crossed modules of groups, and part of this is needed for work on 2-dimensional holonomy to be developed elsewhere (see math.DG/0009082).

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R. Brown, I. Icen. 2001-12-10. Homotopies and automorphisms of crossed modules of groupoids. https://arxiv.org/abs/math/0008117

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