English

Complete classification of generalized crossing changes between GOF-knots

Geometric Topology 2020-01-16 v2

Abstract

We analyze all monodromies of genus one fibered knots that possess clean or once-unclean arcs, and use this to determine all manifolds containing genus one fibered knots with generalized crossing changes resulting in another genus one fibered knot, and classify all such generalized crossing changes between two genus one, fibered knots.

Keywords

Cite

@article{arxiv.1705.06418,
  title  = {Complete classification of generalized crossing changes between GOF-knots},
  author = {Kai Ishihara and Matt Rathbun},
  journal= {arXiv preprint arXiv:1705.06418},
  year   = {2020}
}

Comments

31 pages, 16 figures, with Appendix

R2 v1 2026-06-22T19:50:40.874Z