Central Extensions of Gerbes

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.

36 pages. Many improvements, Theorem 4.6 corrected

References in corpus (1)

• Introduction to the language of stacks and gerbes

Cited by in corpus (2)

• Non Abelian Differentiable Gerbes
• Twisted Deformation Quantization of Algebraic Varieties