English

Handle number one links and generalized property R

Geometric Topology 2009-12-22 v3

Abstract

It is shown that if the exterior of a link L in the three sphere admits a genus 2 Heegaard splitting, then L has Generalized Property R.

Keywords

Cite

@article{arxiv.0909.0280,
  title  = {Handle number one links and generalized property R},
  author = {Michael J. Williams},
  journal= {arXiv preprint arXiv:0909.0280},
  year   = {2009}
}

Comments

5 pages, 1 figure; main theorem strengthened to cover all handle number one links; simplified proof for 2-component links; minor style changes

R2 v1 2026-06-21T13:41:22.703Z