Bundle gerbes
Bundle gerbes
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DOI：
10.1112/jlms/54.2.403
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发表时间：
1994-07
期刊：
影响因子：
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通讯作者：
M. Murray
中科院分区：
文献类型：
--
作者：
M. Murray
。正如C ×主束提供了二维积分上同调的几何实现；群似的群簇，通过它们的Dixmier-Douady类提供了三维积分上同的几何实现。我考虑另一种相关的三维上同调的几何实现，称为束gerbe。每一束gerbe都会衍生出另一束gerbe，大多数著名的gerbe例子都是束gerbe。讨论了束gerbe的性质，特别是束gerbe的连接和曲率及其相关的Dixmier-Douady类。
. Just as C × principal bundles provide a geometric realisation of two-dimensional integral cohomology; gerbes or sheaves of groupoids, provide a geometric realisation of three dimensional integral cohomology through their Dixmier-Douady class. I consider an alternative, related, geometric realisation of three dimensional cohomology called a bundle gerbe. Every bundle gerbe gives rise to a gerbe and most of the well-known examples examples of gerbes are bundle gerbes. I discuss the properties of bundle gerbes, in particular bundle gerbe connections and curvature and their associated Dixmier-Douady class.