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 Literary Theory and Criticism by Izu Vaisman
Cover of the book Songs of Kabir by Izu Vaisman
Cover of the book The Great Thinking Machine by Izu Vaisman
Cover of the book Notes on the Quantum Theory of Angular Momentum by Izu Vaisman
Cover of the book The Male and Female Figure in Motion by Izu Vaisman
Cover of the book The Cricket on the Hearth by Izu Vaisman
Cover of the book Optimization Theory for Large Systems by Izu Vaisman
Cover of the book What Light Through Yonder Window Breaks? by Izu Vaisman
Cover of the book Foundations of Statistical Mechanics by Izu Vaisman
Cover of the book An Italic Calligraphy Handbook by Izu Vaisman
Cover of the book Card Control: Practical Methods and Forty Original Card Experiments by Izu Vaisman
Cover of the book The King of Pirates by Izu Vaisman
Cover of the book Uncle Vanya by Izu Vaisman
Cover of the book The Life of Josiah Henson by Izu Vaisman
Cover of the book An Enemy of the People 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