Notes on 1- and 2-gerbes

Details Notes on 1- and 2-gerbes Notes on 1- and 2-gerbes

2006-11-10

arxiv.org/abs/math/0611317v2

Mathematics

Category Theory

Some changes to the text, a diagram added

Scientific paper

These notes discuss in an informal manner the construction and some properties of 1- and 2-gerbes. They are mainly based on the author's previous work in this area, which is reviewed here, and to some extent improved upon. The main emphasis is on the description of the explicit manner in which one associates an appropriately defined non-abelian cocycle to a given 1- or 2-gerbe with chosen local trivializations.

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