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Nonabelian bundle 2-gerbes

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arxiv 0911.1552 v3 pith:ICP4545N submitted 2009-11-08 math.DG math.AT

classification math.DGmath.AT
keywords bundlecrossedmodulegerbegerbescalledclassifieddefine
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We define 2-crossed module bundle 2-gerbes related to general Lie 2-crossed modules and discuss their properties. A 2-crossed module bundle 2-gerbe over a manifold is defined in terms of a so called 2-crossed module bundle gerbe, which is a crossed module bundle gerbe equipped with an extra sructure. It is shown that string structures can be described and classified using 2-crossed module bundle 2-gerbes.

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