Add to ORKGABSTRACT. Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. Then either Q is isotopic to a possibly stabilized or boundary-stabilized copy of P or the distance d(P) ≤ 2genus(Q). More generally, if P and Q are bicompressible but weakly incom-pressible connected closed separating surfaces in M then either • P and Q can be well-separated or • P and Q are isotopic or • d(P) ≤ 2genus(Q). 1
Abstract. We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fi...
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to ...
Haken showed that the Heegaard splittings of reducible 3-manifolds are reducible, that is, ...
Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. T...
Suppose M is a compact orientable irreducible 3–manifold with Heegaard splitting surfaces P and Q. T...
AbstractSuppose a closed orientable 3-manifold M has a genus g Heegaard surface P with distance d(P)...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
AbstractSuppose a closed orientable 3-manifold M has a genus g Heegaard surface P with distance d(P)...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
AbstractCerf theory can be used to compare two strongly irreducible Heegaard splittings of the same ...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
Abstract. In a recent paper we used Cerf theory to compare strongly irre-ducible Heegaard splittings...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Abstract. We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fi...
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to ...
Haken showed that the Heegaard splittings of reducible 3-manifolds are reducible, that is, ...
Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. T...
Suppose M is a compact orientable irreducible 3–manifold with Heegaard splitting surfaces P and Q. T...
AbstractSuppose a closed orientable 3-manifold M has a genus g Heegaard surface P with distance d(P)...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
AbstractSuppose a closed orientable 3-manifold M has a genus g Heegaard surface P with distance d(P)...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
AbstractCerf theory can be used to compare two strongly irreducible Heegaard splittings of the same ...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
Abstract. In a recent paper we used Cerf theory to compare strongly irre-ducible Heegaard splittings...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Abstract. We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fi...
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to ...
Haken showed that the Heegaard splittings of reducible 3-manifolds are reducible, that is, ...