**Fields Institute Monographs**

Volume: 7;
1996;
272 pp;
Hardcover

MSC: Primary 55; 46;

Print ISBN: 978-0-8218-0600-5

Product Code: FIM/7

List Price: $63.00

Individual Member Price: $50.40

**Electronic ISBN: 978-1-4704-3134-1
Product Code: FIM/7.E**

List Price: $63.00

Individual Member Price: $50.40

# Bordism, Stable Homotopy and Adams Spectral Sequences

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*Stanley O. Kochman*

A co-publication of the AMS and Fields Institute

This book is a compilation of lecture notes that were prepared
for the graduate course “Adams Spectral Sequences and Stable
Homotopy Theory” given at The Fields Institute during the fall of
1995. The aim of this volume is to prepare students with a knowledge of
elementary algebraic topology to study recent developments in stable
homotopy theory, such as the nilpotence and periodicity theorems.

Suitable as a text for an intermediate course in algebraic topology,
this book provides a direct exposition of the basic concepts of bordism,
characteristic classes, Adams spectral sequences, Brown-Peterson spectra
and the computation of stable stems. The key ideas are presented in
complete detail without becoming encyclopedic. The approach to
characteristic classes and some of the methods for computing stable
stems have not been published previously.

- All results are proved in complete detail.
- Only elementary facts from algebraic topology and homological algebra are assumed.
- Each chapter concludes with a guide for further study.

Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Table of Contents

# Table of Contents

## Bordism, Stable Homotopy and Adams Spectral Sequences

#### Readership

Graduate students, research mathematicians, and theoretical physicists interested in algebraic topology.

#### Reviews

The contents of Kochman's book look promising to the would-be student, with five well-balanced chapters augmented by sections on further reading … clearly self-contained … beautifully produced.

-- Bulletin of the London Mathematical Society