High distance Heegaard splittings via fat train tracks
arXiv:0706.0599
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.
25 pages no figures. to appear in Proceedings of "Knots Groups and 3-manifolds" Marseilles France 2006