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2-gerbes bound by complexes of gr-stacks, and cohomology - MaRDI portal

2-gerbes bound by complexes of gr-stacks, and cohomology (Q2475101)

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2-gerbes bound by complexes of gr-stacks, and cohomology
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    2-gerbes bound by complexes of gr-stacks, and cohomology (English)
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    10 March 2008
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    The author defines 2-gerbes bound by complexes of braided group-like stacks. Then, a classification result in terms of hypercohomology groups with values in abelian crossed squares and cones of morphisms of complexes of length 3 is established. Applications to the geometric construction of certain elements in Hermitian Deligne cohomology groups are also given.
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    gerbes
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    complex
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    braided group
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    hypercohomology group
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    Hermitian Deligne cohomology group
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