Complex cobordism and stable homotopy groups of spheres (Record no. 2365)

000 -LEADER
fixed length control field 02308nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240828162913.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190222b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821829677
040 ## - CATALOGING SOURCE
Transcribing agency Education Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Ravenel, Douglas C.
245 ## - TITLE STATEMENT
Title Complex cobordism and stable homotopy groups of spheres
Remainder of title : 2 nd ed.
250 ## - EDITION STATEMENT
Edition statement 2 ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. USA:
Name of publisher, distributor, etc. AMS,
Date of publication, distribution, etc. [c2004]
300 ## - Physical Description
Pages: 395 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1. An introduction to the homotopy groups of spheres<br/>Chapter 2. Setting up the Adams spectral sequence<br/>Chapter 3. The classical Adams spectral sequence<br/>Chapter 4. BP-theory and the Adams-Novikov spectral sequence<br/>Chapter 5. The chromatic spectral sequence<br/>Chapter 6. Morava stabilizer algebras<br/>Chapter 7. Computing stable homotopy groups with the Adams-Novikov spectral sequence<br/>
520 ## - SUMMARY, ETC.
Summary, etc. Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres.<br/><br/>The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 02/22/2019 QA3 01703 Book