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Type: Journal article
Title: Smoothly parameterized Cech cohomology of complex manifolds
Author: Bailey, Toby N.
Eastwood, Michael George
Gindikin, Simon G.
Citation: Journal of Geometric Analysis, 2005; 15 (1):9-23
Publisher: Mathematica Josephina Inc
Issue Date: 2005
ISSN: 1050-6926
School/Discipline: School of Mathematical Sciences : Pure Mathematics
Statement of
Toby Bailey, Michael Eastwood, and Simon Gindikin
Abstract: A Stein covering of a complex manifold may be used to realize its analytic cohomology in accordance with the Cˇech 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 Cˇech differential. Our construction is motivated by integral geometry and the representation theory of Lie groups.
Keywords: Complex manifold; mixed manifold; Cech cohomology
Description: © 2005 The Journal of Geometric Analysis
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Appears in Collections:Pure Mathematics publications

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