A theorem of Furuta and Fintushel-Stern provides a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. In this article we use these results and some 4-dimensional constructions to produce infinite families of positive torus knots whose iterated Whitehead doubles are independent in the smooth concordance group.
Homology cobordism group of homology cylinders and invariants related to lower central series
Independence of Satellites of Torus Knots in the Smooth Concordance Group
The cobordism group of homology cylinders
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