Central Extensions of Gerbes

2007/12/29 by Amnon Yekutieli, Yekutieli, Amnon
Mathematics · #18F20 (Secondary) #20J06 #20L05 (Primary) 18G50 #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #math.AG #math.CT #msc:18F20 #msc:18G50 #msc:20J06 #msc:20L05

paper · pdf · doi:10.48550/arxiv.0801.0083

36 pages. Many improvements, Theorem 4.6 corrected

arxiv created 2010/02/18 · arxiv updated 2010/02/26

Abstract

We introduce the notion of central extension of gerbes on a topological space. We then show that there are obstruction classes to lifting objects and isomorphisms in a central extension. We also discuss pronilpotent gerbes. These results are used in a subsequent paper to study twisted deformation quantization on algebraic varieties.

Related

• Deformation quantization of gerbes
• Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
• Gerbes in classical Chern-Simons theory
• Connections and curvings on lifting bundle gerbes
• Constructions with bundle gerbes