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
- Format Hardcover
- Pages 150
- Language English
- URL https://press.princeton.edu/titles/5054.html