ENGLISH

Cohomology and Differential Forms

By Izu Vaisman

Book information

Publisher
Dover Publications
Year
2016
ISBN
9780486804835, 0486804836
Language
english
Format
DJVU
Filesize
2 MB (2294755 bytes)
Series
Dover Books on Mathematics
Edition
reprint
Pages
304\292
Library
kolxoz
Time added
2018-06-05 18:02:38

Description

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

Similar books