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arXiv · 1712.05426

Independence of Iterated Whitehead Doubles

Juanita Pinzón-Caicedo
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Abstract

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.

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Juanita Pinzón-Caicedo. 2017-12-14. Independence of Iterated Whitehead Doubles. https://arxiv.org/abs/1712.05426

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