Abstract
We bound the value of the Casson invariant of any integral homology 3-sphere M by a constant times the distance-squared to the identity, measured in any word metric on the Torelli group I , of the element of I associated to any Heegaard splitting of M. We construct examples which show this bound is asymptotically sharp. To cite this article: N. Broaddus et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).
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