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[null,"1.","Record Nr.",null,"UNINA9910465358403321"]
[null,null,"Autore",null,"Lescop Christine <1966->"]
[null,null,"Titolo",null,"Global surgery formula for the Casson-Walker invariant / / by Christine Lescop"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, New Jersey : , : Princeton University Press, , 1996"]
[{"$nulls":4},"©1996"]
[null,null,"ISBN",null,"0-691-02133-3"]
[{"$nulls":4},"1-4008-6515-8"]
[null,null,"Descrizione fisica",null,"1 online resource (156 p.)"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; Number 10"]
[null,null,"Disciplina",null,"514/.72"]
[null,null,"Soggetti",null,"Surgery (Topology)"]
[{"$nulls":4},"Three-manifolds (Topology)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"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. 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 "]
[{"$nulls":4},"formula for the Casson invariant."]