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Cohomology and Differential Forms
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Product Details
Author:
Izu Vaisman
Series:
Dover Books on Mathematics
Format:
Paperback
Pages:
304
Publisher:
Dover Publications (August 17, 2016)
Language:
English
ISBN-13:
9780486804835
ISBN-10:
0486804836
Weight:
14.72oz
Dimensions:
6" x 9"
Case Pack:
26
File:
Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
Folder:
Dover
As low as:
$18.95
List Price:
$19.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
General/trade
Pub Discount:
65
Imprint:
Dover Publications
Overview
This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology.
A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.
A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.








