High distance Heegaard splittings via fat train tracks

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.

arXiv comment25 pages no figures. to appear in Proceedings of "Knots Groups and 3-manifolds" Marseilles France 2006

References in corpus (1)

• High distance knots

Cited by in corpus (3)

• Horizontal Dehn Surgery and genericity in the curve complex
• Are large distance Heegaard splittings generic ?
• High distance knots in closed 3-manifolds