Rational Homotopy Theory and Differential Forms by Phillip Griffiths - ISBN: 9781493936991
Paperback

Rational Homotopy Theory and Differential Forms

  • Paperback

    227 pages

  • Release Date

    2 October 2013

Summary

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.

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Book Details

ISBN-13:9781493936991
ISBN-10:1493936999
Author:Phillip Griffiths, John Morgan
Publisher:Birkhauser Boston Inc
Imprint:Birkhauser Boston Inc
Format:Paperback
Number of Pages:227
Edition:2nd
Release Date:2 October 2013
Weight:3.69kg
Dimensions:235mm x 155mm
Series:Progress in Mathematics
What They're Saying

Critics Review

From the book reviews:

“This book is a second, augmented version of one of the famous books on rational homotopy. … The topological intuition throughout the book, the recollections of the necessary elementary homotopy theory and the list of exercises make this book an excellent introduction to Sullivan’s theory. … this book is highly recommended to anyone who wants to understand Sullivan’s theory of rational homotopy theory.” (Daniel Tanré, Mathematical Reviews, February, 2015)

About The Author

Phillip Griffiths

Robert Bryant is the J. M. Kreps Professor in the Department of Mathematics at Duke University. Phillip Griffiths is the director of the Institute for Advanced Study and professor in the Department of Mathematics at Duke University. Daniel Grossman was an L. E. Dickson Instructor in the Department of Mathematics at the University of Chicago at the time of writing, and is now a consultant at the Chicago office of the Boston Consulting Group.

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