Abstract

In 1998, C. Lescop proved that any integral homology sphere with the Casson invariant zero can be obtained from S3 by surgery on a boundary link each component of which has a trivial Alexander polynomial. In this paper, we prove that for any integral homology sphere H, there exists an integer k such that H can be obtained from S3 by surgery on a boundary link each component of which has the Alexander polynomial 1+k(t½-t-½)2.

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