AbstractLet M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) incompressible surface in M which cuts M into two 3-manifolds M1 and M2 (resp. a manifold M1). Then M is called the surface sum (resp. self surface sum) of M1 and M2 (resp. M1) along F, denoted by M=M1∪FM2 (resp. M=M1∪F). In this paper, we will study how g(M) is related to χ(F), g(M1) and g(M2) when both M1 and M2 have high distance Heegaard splittings
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that...
AbstractCerf theory can be used to compare two strongly irreducible Heegaard splittings of the same ...
LetM andM ′ be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that ...
Let M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) incompres...
AbstractLet M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) i...
Let $M_{i}$ be a compact orientable 3-manifold, and $A_{i}$ an incompressible annulus on a component...
AbstractLet Mi be a compact orientable 3-manifold, and Ai a non-separating incompressible annulus on...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
closed essential surface in M with g.F / 1 which cuts M into M1 and M2. In the present paper, we s...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized He...
AbstractJ. Hempel [J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (3) (2001) 6...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that...
AbstractCerf theory can be used to compare two strongly irreducible Heegaard splittings of the same ...
LetM andM ′ be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that ...
Let M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) incompres...
AbstractLet M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) i...
Let $M_{i}$ be a compact orientable 3-manifold, and $A_{i}$ an incompressible annulus on a component...
AbstractLet Mi be a compact orientable 3-manifold, and Ai a non-separating incompressible annulus on...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
closed essential surface in M with g.F / 1 which cuts M into M1 and M2. In the present paper, we s...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized He...
AbstractJ. Hempel [J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (3) (2001) 6...
Abstract. We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of t...
Given a Heegaard splitting and an incompressible surface S and a Heegaard splitting of an irreducibl...
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that...
AbstractCerf theory can be used to compare two strongly irreducible Heegaard splittings of the same ...
LetM andM ′ be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that ...
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