Book Search:  

 

 
Google full text of our books:

bookjacket

Global Surgery Formula for the Casson-Walker Invariant. (AM-140)
Christine Lescop

Paperback | 1996 | $65.00 / £44.95 | ISBN: 9780691021324
150 pp. | 6 x 9
| SHOPPING CART

| Table of Contents

This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds. For integral homology spheres, l is the invariant introduced by Casson in 1985, which allowed him to solve old and famous questions in 3-dimensional topology. l becomes simpler as the first Betti number increases.

As an explicit function of Alexander polynomials and surgery coefficients of framed links, the function F extends in a natural way to framed links in rational homology spheres. It is proven that F describes the variation of l under any surgery starting from a rational homology sphere. Thus F yields a global surgery formula for the Casson invariant.

Table of Contents:

Ch. 1Introduction and statements of the results5
Ch. 2The Alexander series of a link in a rational homology sphere and some of its properties21
Ch. 3Invariance of the surgery formula under a twist homeomorphism35
Ch. 4The formula for surgeries starting from rational homology spheres60
Ch. 5The invariant [lambda] for 3-manifolds with nonzero rank81
Ch. 6Applications and variants of the surgery formula95
Appendix: More about the Alexander series117
Bibliography147
Index149

Series:

Subject Area:

VISIT OUR MATH WEBSITE

Hardcover: Not for sale in Japan

Shopping Cart:

  • For hardcover/paperback orders:

    For hardcover/paperback orders in the United States, Canada, Latin America, Asia, and Australia

    Paperback: $65.00 ISBN: 9780691021324

    For hardcover/paperback orders in Europe, Africa, the Middle East, and India

    Paperback: £44.95 ISBN: 9780691021324

    Prices subject to change without notice

    File created: 7/11/2014

Questions and comments to: webmaster@press.princeton.edu
Princeton University Press

New Book E-mails
New In Print
PUP Blog
Videos/Audios
Princeton APPS
Sample Chapters
Subjects
Series
Catalogs
Princeton Legacy Library
Textbooks
Media/Reviewers
Class Use
Rights/Permissions
Ordering
Recent Awards
Princeton Shorts
Freshman Reading
PUP Europe
About Us
Contact Us
Links
F.A.Q.
MATH SITE
PUP Home


Bookmark and Share
Send me emails
about new books in:
Mathematics
More Choices
Email:
Country:
Name: