**The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres**

by Paul Goerss

**Publisher**: Northwestern University 2007**Number of pages**: 47

**Description**:

Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**An Introduction to Algebraic Surgery**

by

**Andrew Ranicki**-

**arXiv**

Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.

(

**7781**views)

**Prerequisites in Algebraic Topology**

by

**Bjorn Ian Dundas**-

**NTNU**

This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.

(

**7618**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.

(

**4736**views)

**A Concise Course in Algebraic Topology**

by

**J. P. May**-

**University Of Chicago Press**

This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.

(

**15027**views)