Effective Finiteness of irreducible Heegaard splittings of non Haken 3-manifolds

Abstract

The main result is a short effective proof of Tao Li's theorem that a closed non Haken hyperbolic 3-manifold N has at most finitely many irreducible Heegaard splittings.

References in corpus (3)

• The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks
• On the classification of Heegaard splittings
• On the existence of unstable minimal Heegaard surfaces

Cited by in corpus (6)

• Minimal hypersurfaces with bounded index
• On the classification of Heegaard splittings
• Local min-max surfaces and strongly irreducible minimal Heegaard splittings
• On the existence of unstable minimal Heegaard surfaces
• Beyond almost Fuchsian space
• Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds