Mathematics – Algebraic Geometry
Scientific paper
2007-12-29
Mathematics
Algebraic Geometry
36 pages. Many improvements, Theorem 4.6 corrected
Scientific paper
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.
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