Smoothly Parameterised Cech Cohomology of Complex Manifolds
Complex Variables
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0406142,
title = {Smoothly Parameterised Cech Cohomology of Complex Manifolds},
author = {Toby Bailey and Michael Eastwood and Simon Gindikin},
journal= {arXiv preprint arXiv:math/0406142},
year = {2007}
}
Comments
15 pages