Surface holonomy for non-abelian 2-bundles via double groupoids |
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| Authors: | Joã o Faria Martins,Roger Picken |
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| Affiliation: | aDepartamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516 Caparica, Portugal;bCentro de Análise Matemática, Geometria e Sistemas Dinâmicos, Departamento de Matemática, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
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| Abstract: | In the context of non-abelian gerbes, we define a cubical version of categorical group 2-bundles with connection over a smooth manifold. We address their two-dimensional parallel transport, study its properties, and construct non-abelian Wilson surface functionals. |
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| Keywords: | MSC: primary, 53C29 secondary, 18D05, 70S15 |
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