English

The half-twisted splice operation on reduced knot projections

Geometric Topology 2012-08-07 v1

Abstract

We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

Cite

@article{arxiv.1208.0989,
  title  = {The half-twisted splice operation on reduced knot projections},
  author = {Noboru Ito and Ayaka Shimizu},
  journal= {arXiv preprint arXiv:1208.0989},
  year   = {2012}
}

Comments

14 pages, 19 figures, to be published in Journal of Knot Theory and its Ramifications

R2 v1 2026-06-21T21:46:25.736Z