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

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

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.

Home page url

Download or read it online here:
Download link
(370KB, PDF)

Similar books

A Topology PrimerA Topology Primer
by Klaus Wirthm├╝ller - Technische Universit├Ąt Kaiserslautern
The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.
(6479 views)
Geometry of 2D Topological Field TheoriesGeometry of 2D Topological Field Theories
by Boris Dubrovin - arXiv
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
(6445 views)
The Classification Theorem for Compact SurfacesThe Classification Theorem for Compact Surfaces
by Jean Gallier, Dianna Xu
In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.
(9227 views)
An Elementary Illustrated Introduction to Simplicial SetsAn Elementary Illustrated Introduction to Simplicial Sets
by Greg Friedman - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(2763 views)