On the classification of Heegaard splittings

Abstract

The long standing classification problem in the theory of Heegaard splittings of 3-manifolds is to exhibit for each closed 3-manifold a complete list, without duplication, of all its irreducible Heegaard surfaces, up to isotopy. We solve this problem for non Haken hyperbolic 3-manifolds.

References in corpus (1)

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

Cited by in corpus (6)

• Min-max theory for free boundary minimal hypersurfaces I - regularity theory
• Minimal two-spheres in three-spheres
• Effective Finiteness of irreducible Heegaard splittings of non Haken 3-manifolds
• Min-max minimal surfaces, horizons and electrostatic systems
• Local min-max surfaces and strongly irreducible minimal Heegaard splittings
• The Smale conjecture and min-max theory