Central extensions of gerbes

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7 Scopus citations


We introduce the notion of central extension of gerbes on a topological space X. We 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 the paper [15] by A. Yekutieli to study twisted deformation quantization on algebraic varieties.

Original languageEnglish
Pages (from-to)445-486
Number of pages42
JournalAdvances in Mathematics
Issue number1
StatePublished - 1 Sep 2010


  • Central extensions
  • Gerbes
  • Nonabelian cohomology
  • Obstruction classes

ASJC Scopus subject areas

  • Mathematics (all)


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