Displaying similar documents to “Rigidity of group actions”

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...

Topological conjugacy of locally free 𝐑 n - 1 actions on n -manifolds

David C. Tischler, Rosamond W. Tischler (1974)

Annales de l'institut Fourier

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For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal T k bundle over T 2 with T k × R 1 orbits.