English

The concordance classification of low crossing number knots

Geometric Topology 2020-09-01 v2

Abstract

We present the complete classification of the subgroup of the classical knot concordance group generated by knots with eight or fewer crossings. Proofs are presented in summary. We also describe extensions of this work to the case of nine crossing knots.

Keywords

Cite

@article{arxiv.1309.7252,
  title  = {The concordance classification of low crossing number knots},
  author = {Julia Collins and Paul Kirk and Charles Livingston},
  journal= {arXiv preprint arXiv:1309.7252},
  year   = {2020}
}

Comments

8 pages, typographical error in Version 1 corrected