Documentation Documentation
Identifiant IdRef : 214469336
Notice de type Rameau

Point d'accès autorisé

Informations

Langue d'expression : Anglais
Date de naissance :  1996
Note publique d''information : 
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

Notices d'autorité liées

Autres identifiants

Utilisation dans Rameau

Le point d'accès peut être employé dans un point d'accès sujet

... Références liées : ...