Differential Forms and Cohomology: Course
by Peter Saveliev
Publisher: Intelligent Perception 2013
Number of pages: 300
Description:
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
Download or read it online for free here:
Read online
(online html)
Similar books
A Primer on Homotopy Colimitsby Daniel Dugger - University of Oregon
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
(10521 views)
Algebraic and Geometric Topologyby Andrew Ranicki, Norman Levitt, Frank Quinn - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(17124 views)
Residues and Dualityby Robin Hartshorne - Springer
The main purpose of these notes is to prove a duality theorem for cohomology of quasi-coherent sheaves, with respect to a proper morphism of locally noetherian preschemes. Various such theorems are already known. Typical is the duality theorem ...
(6046 views)
Lectures on Introduction to Algebraic Topologyby G. de Rham - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(10374 views)