English

Linking forms of amphichiral knots

Geometric Topology 2017-07-07 v3

Abstract

We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and negative amphichirality.

Keywords

Cite

@article{arxiv.1706.07940,
  title  = {Linking forms of amphichiral knots},
  author = {Stefan Friedl and Allison N. Miller and Mark Powell},
  journal= {arXiv preprint arXiv:1706.07940},
  year   = {2017}
}

Comments

Version 2 has a new title to better reflect what is new in the paper, and historical references have been updated. 7 pages

R2 v1 2026-06-22T20:28:29.145Z