Smoothly parameterized Čech cohomology of complex manifolds
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.
|Collections||ANU Research Publications|
|Source:||Journal of Geometric Analysis|
|01_Bailey_Smoothly_Parameterised_2005.pdf||239.37 kB||Adobe PDF|
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