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arxiv: math/0312175 · v1 · submitted 2003-12-09 · 🧮 math.DG

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Constructions with bundle gerbes

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keywords bundlegerbesconstructionstheoryallowapplicationsdevelopsexamines
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This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead to some interesting applications in physics.

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Cited by 2 Pith papers

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    math.DG 2026-04 unverdicted novelty 7.0

    The work constructs adjusted connections on non-abelian bundle gerbes classified by Saemann's adjusted non-abelian differential cohomology and provides a new coordinate-free version of Tellez-Dominguez' lifting theore...

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    The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for findin...