High distance Heegaard splittings via fat train tracks

Details High distance Heegaard splittings via fat train tracks High distance Heegaard splittings via fat train tracks

2007-06-05

arxiv.org/abs/0706.0599v2

Mathematics

Geometric Topology

25 pages no figures. to appear in Proceedings of "Knots Groups and 3-manifolds" Marseilles France 2006

Scientific paper

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.

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