Cohomology and Differential Forms is popular PDF and ePub book, written by Izu Vaisman in 2016-08-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Cohomology and Differential Forms can be Read Online from any device for your convenience.
Cohomology and Differential Forms Book PDF Summary
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.
Detail Book of Cohomology and Differential Forms PDF
- Author : Izu Vaisman
- Release : 17 August 2016
- Publisher : Courier Dover Publications
- ISBN : 9780486804835
- Genre : Mathematics
- Total Page : 305 pages
- Language : English
- PDF File Size : 21,9 Mb
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