**Manifold Theory**

by Peter Petersen

**Publisher**: UCLA 2010**Number of pages**: 77

**Description**:

These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Algebraic and Geometric Topology**

by

**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.

(

**11048**views)

**Lecture Notes on Motivic Cohomology**

by

**Carlo Mazza, Vladimir Voevodsky, Charles Weibel**-

**AMS**

This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.

(

**5433**views)

**Elementary Topology**

by

**O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov**-

**American Mathematical Society**

This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

(

**11125**views)

**Differential Forms and Cohomology: Course**

by

**Peter Saveliev**-

**Intelligent Perception**

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.

(

**3368**views)