Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17766
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 Responsibility: | 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 |
Description (link): | http://www.springerlink.com/content/w10j638v4112/?p=a30dae6dedcd42c98d9ee1dd0be62efe&pi=21 |
Appears in Collections: | Pure Mathematics publications |
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