Independence of iterated Whitehead doubles

Pinzón-Caicedo, Juanita

doi:10.1090/proc/14261

Independence of iterated Whitehead doubles
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by Juanita Pinzón-Caicedo

Proc. Amer. Math. Soc. 147 (2019), 1313-1324

DOI: https://doi.org/10.1090/proc/14261

Published electronically: November 16, 2018

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Abstract:

A theorem of Furuta and Fintushel-Stern provides a criterion for a collection of Seifert fiberd 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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