2006/11/10 by Lawrence Breen, Breen, Lawrence
Mathematics · Physics and Astronomy · #14A20 #18D05 #55R70 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG #math.AT #math.CT #msc:14A20 #msc:18D05 #msc:55R70
paper · pdf · doi:10.48550/arxiv.math/0611317
Some changes to the text, a diagram added
arxiv created 2006/12/22 · arxiv updated 2009/12/01
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.