English

Construction of non-alternating knots

Geometric Topology 2007-05-23 v2

Abstract

We investigate the behaviour of Rasmussen's invariant ss under the sharp operation on knots and obtain a lower bound for the sharp unknotting number. This bound leads us to an interesting move that transforms arbitrary knots into non-alternating knots.

Keywords

Cite

@article{arxiv.math/0602092,
  title  = {Construction of non-alternating knots},
  author = {Sebastian Baader},
  journal= {arXiv preprint arXiv:math/0602092},
  year   = {2007}
}

Comments

5 pages, 3 figures, one remark added

R2 v1 2026-07-22T17:31:06.280Z