From the rear cover
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.
Dover (2016) republication with minor corrections of the edition originally published by Marcel Dekker, Inc., New York, 1973.
www.doverpublications.com
Details
- Title Cohomology and Differential Forms
- Author Izu Vaisman
- Binding Paperback
- Pages 304
- Volumes 1
- Language ENG
- Publisher Dover Publications
- Date 2016
- Features Bibliography, Index
- ISBN 9780486804835 / 0486804836
- Weight 0.9 lbs (0.41 kg)
- Dimensions 8.8 x 5.9 x 0.7 in (22.35 x 14.99 x 1.78 cm)
- Library of Congress subjects Homology theory, Geometry, Differential
- Library of Congress Catalog Number 2015051405
- Dewey Decimal Code 514.23
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