An extension of Casson's invariant

書誌事項

An extension of Casson's invariant

by Kevin Walker

(Annals of mathematics studies, no. 126)

Princeton University Press, 1992

  • : cl
  • : pbk

タイトル別名

Casson's invariant

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注記

Bibliography: p. 129-131

内容説明・目次

内容説明

This monograph describes an invariant, lambda, of oriented rational homology 3-spheres, which is a generalization of Andrew Casson's work in the integer homology sphere case. A formula describing how lambda transforms under Dehn surgery is provided. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of lambda. It is also shown that when M is a Z2-homology sphere, lambda (M) determines the Rochlin invariant of M.

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