Casson’s Invariant Is a Homotopy Invariant
نویسنده
چکیده
In this paper, using Waldhausen’s standard degree 1-maps between handlebodies, we show that the Casson invariant of oriented integral homology 3-spheres is a homotopy invariant. This provides a map from homotopy classes of oriented integral homology 3-spheres to the integers. It also gives an obstruction to finding orientationreversing self homotopy equivalences of such 3-manifolds.
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تاریخ انتشار 2004