More morphisms between bundle gerbes.
Waldorf, Konrad (2007)
Theory and Applications of Categories [electronic only]
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Waldorf, Konrad (2007)
Theory and Applications of Categories [electronic only]
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Michel Brion (1996)
Banach Center Publications
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Kaliszewski, S., Muhly, Paul S., Quigg, John, Williams, Dana P. (2010)
The New York Journal of Mathematics [electronic only]
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Nishimura, Hirokazu (2003)
Beiträge zur Algebra und Geometrie
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Wlodzimierz M. Mikulski (2006)
Extracta Mathematicae
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Let A be a Weil algebra and V be an A-module with dim V < ∞. Let E → M be a vector bundle and let TE → TM be the vector bundle corresponding to (A,V). We construct canonically a linear semibasic tangent valued p-form Tφ : T E → ΛT*TM ⊗ TTE on TE → TM from a linear semibasic tangent valued p-form φ : E → ΛT*M ⊗ TE on E → M. For the Frolicher-Nijenhuis bracket we prove that [[Tφ, Tψ]] = T ([[φ,ψ]]) for any linear semibasic tangent valued p- and q-forms φ and ψ on E → M. We apply...
Hein, Georg, Ploog, David (2005)
Beiträge zur Algebra und Geometrie
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Bakuradze, M. (1998)
Georgian Mathematical Journal
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Machu, Francois-Xavier (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Martin Čadek, Jiří Vanžura (1996)
Colloquium Mathematicae
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It is shown that the -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
Martin Čadek, Jiří Vanžura (1998)
Banach Center Publications
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The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.