Displaying similar documents to “On localization in holomorphic equivariant cohomology”

Nonclassical descriptions of analytic cohomology

Bailey, Toby N., Eastwood, Michael G., Gindikin, Simon G.

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Summary: There are two classical languages for analytic cohomology: Dolbeault and Čech. In some applications, however (for example, in describing the Penrose transform and certain representations), it is convenient to use some nontraditional languages. In [, and , J. Geom. Phys. 17, 231-244 (1995; Zbl 0861.22009)] was developed a language that allows one to render analytic cohomology in a purely holomorphic fashion.In this article we indicate a more general construction, which includes...

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...