Central Extensions of Gerbes
Algebraic Geometry
2010-02-18 v4 Category Theory
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.
Cite
@article{arxiv.0801.0083,
title = {Central Extensions of Gerbes},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:0801.0083},
year = {2010}
}
Comments
36 pages. Many improvements, Theorem 4.6 corrected