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Bundle gerbes: stable isomorphism and local theory

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arxiv math/9908135 v1 pith:4FYPD264 submitted 1999-08-26 math.DG

Michael K. Murray , Daniel Stevenson This is my paper · ORCID
classification math.DG
keywords bundlegerbesisomorphismstabletheorylocalbijectivebundles
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We consider the notion of stable isomorphism of bundle gerbes. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H^3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables us to develop a classifying theory for bundle gerbes using results of Gajer on BC^x bundles.

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  1. M2-branes, Higher Form Symmetries and 1-Gerbes

    hep-th 2026-02 conditional novelty 5.0 of 10

    A torsion gerbe on the M2-brane worldvolume cancels a mixed higher-form anomaly, breaking U(1) symmetries to discrete subgroups and imposing a worldvolume flux condition.

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