English

A family of non-split topologically slice links with arbitrarily large smooth slice genus

Geometric Topology 2020-06-11 v2

Abstract

We construct an infinite family of topologically slice 2--component boundary links i\ell_i, none of which is smoothly concordant to a split link, such that g4(i)=ig_4(\ell_i)=i.

Keywords

Cite

@article{arxiv.1605.07045,
  title  = {A family of non-split topologically slice links with arbitrarily large smooth slice genus},
  author = {JungHwan Park and Arunima Ray},
  journal= {arXiv preprint arXiv:1605.07045},
  year   = {2020}
}

Comments

10 pages, 7 figures; v2 includes minor changes based on referee comments, to appear in Proceedings of the AMS