English

Refilling meridians in a genus 2 handlebody complement

Geometric Topology 2009-04-12 v2

Abstract

Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natural to ask whether geometric properties of the link complement say something about the meridian that was restored. Here we consider what the relation must be between two not necessarily disjoint meridians so that restoring each of them gives a trivial knot or a split link.

Keywords

Cite

@article{arxiv.math/0603705,
  title  = {Refilling meridians in a genus 2 handlebody complement},
  author = {Martin Scharlemann},
  journal= {arXiv preprint arXiv:math/0603705},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology Monographs on 29 April 2008