Smoothly Parameterised Cech Cohomology of Complex Manifolds

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A Stein covering of a complex manifold may be used to realise its analytic cohomology in accordance with the Cech theory. If, however, the Stein covering is parameterised by a smooth manifold rather than just a discrete set, then we construct a cohomology theory in which an exterior derivative replaces the usual combinatorial Cech differential. Our construction is motivated by integral geometry and the representation theory of Lie groups.
15 pages

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Complex Variables, Primary 32L10; Secondary 22E46, 32L25, 43A85

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http://salesiana.dossiersoluciones.com/handle/123456789/71477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406142
 http://arxiv.org/abs/math/0406142

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arXiv