Bundle Gerbes: Stable Isomorphism and Local Theory

2000/12/01 by Michael K. Murray, Daniel Stevenson · 11 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · doi:10.1112/s0024610700001551

Abstract

The notion of stable isomorphism of bundle gerbes is considered. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables a classifying theory for bundle gerbes to be developed using results of Gajer on BC× bundles.

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• Current Groups and the Hamiltonian Anomaly
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• Topological Insulators and the Kane-Mele Invariant: Obstruction and\n Localisation Theory
• Delocalized Chern character for stringy orbifold K-theory
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• Defects, dualities and the geometry of strings via gerbes. I. Dualities and state fusion through defects

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• Bundle gerbes: stable isomorphism and local theory
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