On localization in holomorphic equivariant cohomology

Ugo Bruzzo; Vladimir Rubtsov

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

Holomorphic equivariant cohomology.

Kefeng Liu (1995)

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The sigma orientation for analytic circle-equivariant elliptic cohomology.

Ando, Matthew (2003)

Geometry & Topology

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Hartogs phenomena for Hermitian vector bundles

Harris, Adam

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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 $U : M \to {SU}_{N_{F}}$ he thinks of the meson fields as of global sections in a bundle $B (M, {SU}_{N_{F}}, G) = P (M, G) \times_{G} {SU}_{N_{F}}$ . 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 $N_{F} \leq 6$ , one has $H^{*} (E G \times_{G} {SU}_{N_{F}}) ≅ H^{*} {({SU}_{N_{F}})}^{G} ≅ S ({\underset{̲}{G}}^{*}) \otimes H^{*} ({SU}_{N_{F}}) ≅ H^{*} (B G) \otimes H^{*} ({SU}_{N_{F}}),$ where $E G (B G, G)$ is the universal...