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Introduction to the language of stacks and gerbes

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arxiv math/0212266 v1 pith:YNOD2RI4 submitted 2002-12-19 math.AT math.CT

classification math.ATmath.CT
keywords gerbesintroductioncohomologyemphasislanguagenon-abelianstackstopologists
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This is an introduction to gerbes for topologists, with emphasis on non-abelian cohomology.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fundamentals of Lie categories and Yang-Mills theory for multiplicative Ehresmann connections

    math.DG 2025-07 conditional novelty 7.0 of 10

    Multiplicative Ehresmann connections on general Lie algebroids yield a gauge-invariant pair of Yang-Mills equations that reduce to the classical equation in the transitive case.

  2. Connections on a principal Lie groupoid bundle and representations up to homotopy

    math.DG 2025-02 conditional novelty 6.0 of 10

    Connections on principal Lie groupoid bundles are defined through an action up to homotopy, yielding an Atiyah sequence of diffeological groupoids that such connections split.

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