|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910786748103321 |
|
|
Autore |
Lescop Christine <1966-> |
|
|
Titolo |
Global surgery formula for the Casson-Walker invariant / / by Christine Lescop |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Princeton, New Jersey : , : Princeton University Press, , 1996 |
|
©1996 |
|
|
|
|
|
|
|
|
|
ISBN |
|
0-691-02133-3 |
1-4008-6515-8 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (156 p.) |
|
|
|
|
|
|
Collana |
|
Annals of Mathematics Studies ; ; Number 10 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Surgery (Topology) |
Three-manifolds (Topology) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|