Independence of Iterated Whitehead Doubles
Geometric Topology
2017-12-18 v1
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.
Keywords
Cite
@article{arxiv.1712.05426,
title = {Independence of Iterated Whitehead Doubles},
author = {Juanita Pinzón-Caicedo},
journal= {arXiv preprint arXiv:1712.05426},
year = {2017}
}