Abstract
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 language | English |
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Pages (from-to) | 445-486 |
Number of pages | 42 |
Journal | Advances in Mathematics |
Volume | 225 |
Issue number | 1 |
DOIs | |
State | Published - 1 Sep 2010 |
Keywords
- Central extensions
- Gerbes
- Nonabelian cohomology
- Obstruction classes
ASJC Scopus subject areas
- General Mathematics