Displaying similar documents to “Cohomology of the Yang-Mills gauge orbit space and dimensional reduction”

Equivariant cohomology of the skyrmion bundle

Gross, Christian

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The author constructs the gauged Skyrme model by introducing the skyrmion bundle as follows: instead of considering maps U : M → SU N F he thinks of the meson fields as of global sections in a bundle B ( M , SU N F , G ) = P ( M , G ) × G SU N F . For calculations within the skyrmion bundle the author introduces by means of the so-called equivariant cohomology an analogue of the topological charge and the Wess-Zumino term. The final result of this paper is the following Theorem. For the skyrmion bundle with N F ≤ 6 , one has H * ( E G × G SU N F ) ≅ H * ( SU N F ) G ≅ S ( G ̲ * ) ⊗ H * ( SU N F ) ≅ H * ( B G ) ⊗ H * ( SU N F ) , where E G ( B G , G ) is the universal...

On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1995)

Commentationes Mathematicae Universitatis Carolinae

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Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.