Mathematics – Complex Variables
Scientific paper
2004-06-08
Mathematics
Complex Variables
15 pages
Scientific paper
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.
Bailey Toby
Eastwood Michael
Gindikin Simon
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