English

Minimal diagrams of classical knots

Geometric Topology 2007-05-23 v3

Abstract

We show that if a classical knot diagram satisfies a certain combinatorial condition then it is minimal with respect to the number of classical crossings. This statement is proved by using the Kauffman bracket and the construction of atoms and knots.

Keywords

Cite

@article{arxiv.math/0501510,
  title  = {Minimal diagrams of classical knots},
  author = {Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:math/0501510},
  year   = {2007}
}

Comments

References corrected

R2 v1 2026-07-22T17:15:00.766Z