English

The knot Floer complex and the smooth concordance group

Geometric Topology 2015-03-06 v1

Abstract

We define a new smooth concordance homomorphism based on the knot Floer complex and an associated concordance invariant, epsilon. As an application, we show that an infinite family of topologically slice knots are independent in the smooth concordance group.

Keywords

Cite

@article{arxiv.1111.6635,
  title  = {The knot Floer complex and the smooth concordance group},
  author = {Jennifer Hom},
  journal= {arXiv preprint arXiv:1111.6635},
  year   = {2015}
}

Comments

25 pages, 5 figures

R2 v1 2026-06-21T19:42:53.775Z