English

Rasmussen s-invariants of satellites do not detect slice knots

Geometric Topology 2015-12-31 v1

Abstract

We present a large family of knots for which the Rasmussen s-invariants of arbitrary satellites do not detect sliceness. This answers a question of Hedden. The proof hinges on work of Kronheimer-Mrowka and Cochran-Harvey-Horn.

Keywords

Cite

@article{arxiv.1512.08931,
  title  = {Rasmussen s-invariants of satellites do not detect slice knots},
  author = {Jae Choon Cha and Min Hoon Kim},
  journal= {arXiv preprint arXiv:1512.08931},
  year   = {2015}
}

Comments

6 pages, 1 figure