By Izu Vaisman
A self-contained improvement of cohomological conception constitutes the vital a part of the publication. subject matters contain different types and functors, the Čech cohomology with coefficients in sheaves, the speculation of fiber bundles, and differentiable, foliated, and complicated analytic manifolds. the ultimate bankruptcy covers the theorems of de Rham and Dolbeault-Serre and examines the concept of Allendoerfer and Eells, with functions of those theorems to attribute sessions and the final thought of harmonic forms.
Read Online or Download Cohomology and Differential Forms (Dover Books on Mathematics) PDF
Similar geometry & topology books
Topology is the mathematical research of the main uncomplicated geometrical constitution of an area. Mathematical physics makes use of topological areas because the formal capability for describing actual area and time. This ebook proposes a totally new mathematical constitution for describing geometrical notions akin to continuity, connectedness, limitations of units, and so forth, so as to offer a greater mathematical instrument for figuring out space-time.
During the last fifteen years fractal geometry has confirmed itself as a considerable mathematical thought in its personal correct. The interaction among fractal geometry, research and stochastics has hugely inspired fresh advancements in mathematical modeling of advanced constructions. This method has been compelled via difficulties in those components concerning purposes in statistical physics, biomathematics and finance.
Complicated reports in natural arithmetic, quantity 18-I: fresh issues in Differential and Analytic Geometry provides the advancements within the box of analytical and differential geometry. This publication offers a few generalities approximately bounded symmetric domain names. prepared into elements encompassing 12 chapters, this quantity starts with an summary of harmonic mappings and holomorphic foliations.
This ebook begins with a concise yet rigorous review of the elemental notions of projective geometry, utilizing hassle-free and smooth language. The target is not just to set up the notation and terminology used, but additionally to supply the reader a short survey of the subject material. within the moment half, the ebook provides greater than 2 hundred solved difficulties, for lots of of which a number of replacement recommendations are supplied.
- Geometric Integration Theory (Cornerstones)
- Foundations of General Topology
- The Novikov Conjecture: Geometry and Algebra: 33 (Oberwolfach Seminars)
- Adams Memorial Symposium on Algebraic Topology: Volume 2 (London Mathematical Society Lecture Note Series)
Extra resources for Cohomology and Differential Forms (Dover Books on Mathematics)