English

Bipartite knots

Geometric Topology 2015-03-19 v2

Abstract

We give a solution to a part of Problem 1.60 in Kirby's list of open problems in topology thus answering in the positive the 1987 conjecture by J.Przytycki concerning the existence of knots without matched diagrams.

Keywords

Cite

@article{arxiv.1105.1264,
  title  = {Bipartite knots},
  author = {S. Duzhin and M. Shkolnikov},
  journal= {arXiv preprint arXiv:1105.1264},
  year   = {2015}
}

Comments

8 pages, 8 figures, some typos corrected, some words added

R2 v1 2026-06-21T18:03:41.815Z