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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Nishimura, Hirokazu (2003)
Beiträge zur Algebra und Geometrie
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Ivan Kolář, Antonella Cabras (2006)
Commentationes Mathematicae Universitatis Carolinae
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We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.
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.
Akio Hattori (1998)
Banach Center Publications
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Kirill Mackenzie (2000)
Banach Center Publications
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Levin, Andrey M., Olshanetsky, Mikhail A., Zotov, Andrei V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Włodzimierz M. Mikulski (1992)
Annales Polonici Mathematici
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This paper is a contribution to the axiomatic approach to geometric objects. A collection of a manifold M, a topological space N, a group homomorphism E: Diff(M) → Homeo(N) and a function π: N → M is called a quasi-natural bundle if (1) π ∘ E(f) = f ∘ π for every f ∈ Diff(M) and (2) if f,g ∈ Diff(M) are two diffeomorphisms such that f|U = g|U for some open subset U of M, then E(f)|π^{-1}(U) = E(g)|π^{-1}(U). We give conditions which ensure that π: N → M is continuous. In particular,...
Miroslav Doupovec (1991)
Annales Polonici Mathematici
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We determine all natural transformations T²₁T*→ T*T²₁ where . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.