Extended manifolds and extended equivariant cohomology

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We define the category of manifolds with extended tangent bundles, we study their symmetries and we consider the analogue of equivariant cohomology for actions of Lie groups in this category. We show that when the action preserves the splitting of the extended tangent bundle, our definition of extended equivariant cohomology agrees with the twisted equivariant de Rham model of Cartan, and for this case we show that there is localization at the fixed point set, à la Atiyah-Bott.
Revised version. Definition 5.1.1 and examples 5.6.2 and 7.2.7 corrected. 36 pages

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Differential Geometry, Algebraic Topology, 57R91, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/138796

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608319
 http://arxiv.org/abs/math/0608319

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arXiv