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[null,"1.","Record Nr.",null,"UNINA9910154744603321"]
[null,null,"Autore",null,"Walker Kevin"]
[null,null,"Titolo",null,"An Extension of Casson's Invariant. (AM-126), Volume 126 / / Kevin Walker"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, NJ : , : Princeton University Press, , [2016]"]
[{"$nulls":4},"©1992"]
[null,null,"ISBN",null,"1-4008-8246-X"]
[null,null,"Descrizione fisica",null,"1 online resource (140 pages) : illustrations"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; 308"]
[null,null,"Classificazione",null,"SK 320"]
[null,null,"Disciplina",null,"514/.3"]
[null,null,"Soggetti",null,"Three-manifolds (Topology)"]
[{"$nulls":4},"Invariants"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Frontmatter -- Contents -- 0. Introduction -- 1. Topology of Representation Spaces -- 2. Definition of λ -- 3. Various Properties of λ -- 4. The Dehn Surgery Formula -- 5. Combinatorial Definition of λ -- 6. Consequences of the Dehn Surgery Formula -- A. Dedekind Sums -- B. Alexander Polynomials -- Bibliography"]
[null,null,null,"Sommario/riassunto","This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M."]