Add to ORKGIn this paper, we give infinitely many non-Haken hyperbolic genus three 3-manifolds each of which has a finite cover whose induced Heegaard surface from some genus three Heegaard surface of the base manifold is reducible but can be compressed into an incompressible surface. This result supplements [CG] and extends [MMZ].
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...
We prove (Theorem 1.5) that there exists a constant Λ > 0 so that if M is a (μ, d)-generic complete ...
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...
The main result is a short effective proof of Tao Li's theorem that a closed non-Haken hyperbolic 3-...
We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructe...
We show that if a closed hyperbolic 3-manifold has infinitely many finite covers of bounded Heegaard...
LetM andM ′ be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that ...
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to ...
Abstract. We show that if M is a complete, finite–volume, hyperbolic 3-manifold having exactly one c...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is kno...
Let M and M' be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that...
Haken showed that the Heegaard splittings of reducible 3-manifolds are reducible, that is, ...
We examine three key conjectures in 3-manifold theory: the virtually Haken conjecture, the positive ...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...
We prove (Theorem 1.5) that there exists a constant Λ > 0 so that if M is a (μ, d)-generic complete ...
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...
The main result is a short effective proof of Tao Li's theorem that a closed non-Haken hyperbolic 3-...
We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructe...
We show that if a closed hyperbolic 3-manifold has infinitely many finite covers of bounded Heegaard...
LetM andM ′ be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that ...
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to ...
Abstract. We show that if M is a complete, finite–volume, hyperbolic 3-manifold having exactly one c...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is kno...
Let M and M' be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that...
Haken showed that the Heegaard splittings of reducible 3-manifolds are reducible, that is, ...
We examine three key conjectures in 3-manifold theory: the virtually Haken conjecture, the positive ...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...
We prove (Theorem 1.5) that there exists a constant Λ > 0 so that if M is a (μ, d)-generic complete ...
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show tha...