Displaying similar documents to “A Thom isomorphism for infinite rank Euclidean bundles.”

Coactions and fell bundles.

Kaliszewski, S., Muhly, Paul S., Quigg, John, Williams, Dana P. (2010)

The New York Journal of Mathematics [electronic only]

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On 2-distributions in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1996)

Colloquium Mathematicae

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It is shown that the 2 -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.

Universal prolongation of linear partial differential equations on filtered manifolds

Katharina Neusser (2009)

Archivum Mathematicum

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The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.

Various structures in 8-dimensional vector bundles over 8-manifolds

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.