Locally unknotted spines of Heegaard splittings

@article{Johnson2004LocallyUS,
  title={Locally unknotted spines of Heegaard splittings},
  author={Jesse Johnson},
  journal={Algebraic \& Geometric Topology},
  year={2004},
  volume={5},
  pages={1573-1584}
}
  • Jesse Johnson
  • Published 2004
  • Mathematics
  • Algebraic & Geometric Topology
We show that under reasonable conditions, the spines of the handlebodies of a strongly irreducible Heegaard splitting will intersect a closed ball in a graph which is isotopic into the boundary of the ball. This is in some sense a generalization of the results by Scharlemann on how a strongly irreducible Heegaard splitting surface can intersect a ball. AMS Classification 57M27; 57Q10 

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Algebraic & Geometric Topology
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  • 2005
CA 95616, USA Email: jjohnson@math.ucdavis.edu Received
  • CA 95616, USA Email: jjohnson@math.ucdavis.edu Received
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