An Extension of Casson's Invariant. (AM-126), Volume 126 (Annals of Mathematics Studies)

by Kevin Walker

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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.
  • ISBN10 0691087660
  • ISBN13 9780691087665
  • Publish Date 23 March 1992
  • Publish Status Out of Print
  • Out of Print 7 August 2001
  • Publish Country US
  • Imprint Princeton University Press