Cohomology and Differential Forms

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Cohomology and Differential Forms by Izu Vaisman, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Izu Vaisman ISBN: 9780486815121
Publisher: Dover Publications Publication: July 28, 2016
Imprint: Dover Publications Language: English
Author: Izu Vaisman
ISBN: 9780486815121
Publisher: Dover Publications
Publication: July 28, 2016
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Lilacs and Other Stories by Izu Vaisman
Cover of the book Lettering by Izu Vaisman
Cover of the book The Magic of Sleep Thinking by Izu Vaisman
Cover of the book Traditional Japanese Stencil Designs by Izu Vaisman
Cover of the book Sredni Vashtar and Other Stories by Izu Vaisman
Cover of the book Laws by Izu Vaisman
Cover of the book Mathematics for the Nonmathematician by Izu Vaisman
Cover of the book Best Ghost Stories of Algernon Blackwood by Izu Vaisman
Cover of the book Medieval Costume in England and France by Izu Vaisman
Cover of the book Enchiridion by Izu Vaisman
Cover of the book Chinese Brushwork in Calligraphy and Painting by Izu Vaisman
Cover of the book Elasticity by Izu Vaisman
Cover of the book Vector and Tensor Analysis with Applications by Izu Vaisman
Cover of the book The Game of Chess by Izu Vaisman
Cover of the book The Masterwork in Music: Volume I, 1925 by Izu Vaisman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy