Central extensions of gerbes

Amnon Yekutieli

doi:10.1016/j.aim.2010.03.005

Central extensions of gerbes

Amnon Yekutieli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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
Pages (from-to)	445-486
Number of pages	42
Journal	Advances in Mathematics
Volume	225
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2010.03.005
State	Published - 1 Sep 2010

Keywords

Central extensions
Gerbes
Nonabelian cohomology
Obstruction classes

ASJC Scopus subject areas

Mathematics (all)

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10.1016/j.aim.2010.03.005

Cite this

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title = "Central extensions of gerbes",

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.",

keywords = "Central extensions, Gerbes, Nonabelian cohomology, Obstruction classes",

author = "Amnon Yekutieli",

note = "Funding Information: ✩ This research was supported by the US–Israel Binational Science Foundation and the Israel Science Foundation. E-mail address: amyekut@math.bgu.ac.il.",

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N2 - 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.

AB - 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.

KW - Central extensions

KW - Gerbes

KW - Nonabelian cohomology

KW - Obstruction classes

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Central extensions of gerbes

Abstract

Keywords

ASJC Scopus subject areas

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