DOIAbstract
AbstractWe 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 S3
AbstractWe 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 S3
In this paper, we show that, for any integers n≥2 and g≥2, there exist genus-g Heegaard splittings o...
Abstract The tunnel number of knots directly gives the Heegaard genus of their exteriors. For the li...
AbstractFixed an oriented handlebody H=H+ with boundary F, let η(H+)=H− be the mirror image of H+ al...
AbstractWe define fat train tracks and use them to give a combinatorial criterion for the Hempel dis...
A Heegaard splitting (S; V1, V 2) for a closed 3-manifold M is a representation M = V1 ∪S V2 w...
AbstractJ. Hempel [J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (3) (2001) 6...
Abstract. Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single ...
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single s...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single s...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
We construct knots in S-3 with Heegaard splittings of arbitrarily high distance, in any genus. As an...
Abstract. Following an example discovered by John Berge [Be2], we show that there is a 4-component l...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Abstract. We show that if a Heegaard splitting is the result of stabilizing a high distance Heegaard...
In this paper, we show that, for any integers n≥2 and g≥2, there exist genus-g Heegaard splittings o...
Abstract The tunnel number of knots directly gives the Heegaard genus of their exteriors. For the li...
AbstractFixed an oriented handlebody H=H+ with boundary F, let η(H+)=H− be the mirror image of H+ al...
AbstractWe define fat train tracks and use them to give a combinatorial criterion for the Hempel dis...
A Heegaard splitting (S; V1, V 2) for a closed 3-manifold M is a representation M = V1 ∪S V2 w...
AbstractJ. Hempel [J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (3) (2001) 6...
Abstract. Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single ...
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single s...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single s...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
We construct knots in S-3 with Heegaard splittings of arbitrarily high distance, in any genus. As an...
Abstract. Following an example discovered by John Berge [Be2], we show that there is a 4-component l...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Abstract. We show that if a Heegaard splitting is the result of stabilizing a high distance Heegaard...
In this paper, we show that, for any integers n≥2 and g≥2, there exist genus-g Heegaard splittings o...
Abstract The tunnel number of knots directly gives the Heegaard genus of their exteriors. For the li...
AbstractFixed an oriented handlebody H=H+ with boundary F, let η(H+)=H− be the mirror image of H+ al...
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