High distance Heegaard splittings via fat train tracks
Preprint
Abstract
We define "fat" train tracks and use them to give a combinatorial criterion for the Hempel distance of Heegaard splittings for closed orientable 3-manifolds. We apply this criterion to 3-manifolds obtained from surgery on knots in the three sphere.Keywords
All Related Versions
This publication has 9 references indexed in Scilit:
- High distance knotsAlgebraic & Geometric Topology, 2007
- High distance Heegaard splittings of 3-manifoldsTopology and its Applications, 2006
- Distances of Heegaard splittingsGeometry & Topology, 2004
- 3-Manifolds as viewed from the curve complexTopology, 2001
- Geometry of the complex of curves II: Hierarchical structureGeometric and Functional Analysis, 2000
- Geometry of the complex of curves I: HyperbolicityInventiones Mathematicae, 1999
- Automorphisms of Surfaces after Nielsen and Thurston1988
- Heights of simple loops and pseudo-Anosov homeomorphisms1988
- Reducing heegaard splittingsTopology and its Applications, 1987