Independence of Iterated Whitehead Doubles

2017/12/14 by Pinzón-Caicedo, Juanita
#57M25 #57N70 #57Q60 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1712.05426

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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