English

A note on the concordance invariant epsilon

Geometric Topology 2020-07-24 v1

Abstract

We compare the smooth concordance invariants Upsilon, phi and epsilon. Previous work gave examples of knots with one of the Upsilon and phi invariants zero but the epsilon invariant nonzero. We build an infinite family of linearly independent knots with both the Upsilon and phi invariants zero but the epsilon invariant nonzero.

Keywords

Cite

@article{arxiv.2007.11800,
  title  = {A note on the concordance invariant epsilon},
  author = {Shida Wang},
  journal= {arXiv preprint arXiv:2007.11800},
  year   = {2020}
}
R2 v1 2026-06-23T17:20:11.647Z