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Smoothly parameterized Čech cohomology of complex manifolds

Bailey, Toby; Eastwood, Michael; Gindikin, Simon


A Stein covering of a complex manifold may be used to realize its analytic cohomology in accordance with the Čech theory. If however, the Stein covering is parameterized 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.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/BF02921856


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