Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings

DOI10.1007/s10711-015-0120-6zbMath1337.57047OpenAlexW1902374644MaRDI QIDQ280135

Faze Zhang, Yanqing Zou, Ruifeng Qiu

Publication date: 29 April 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-015-0120-6

zbMATH Keywords

hyperbolic 3-manifoldscurve complexHeegaard distance

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (3)

Non degenerating Dehn fillings on genus two Heegaard splittings of knots' complements ⋮ Unstabilized ∂-stabilization of a fat Heegaard splitting ⋮ Some results on Heegaard splitting

Cites Work

• Unnamed Item
• Unnamed Item
• Heegaard splittings of Haken manifolds have bounded distance.
• Heegaard surfaces and measured laminations. I: the Waldhausen conjecture
• Bounds on exceptional Dehn filling. II
• Proximity in the curve complex: boundary reduction and bicompressible surfaces
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• The disjoint curve property and genus 2 manifolds
• Incompressible surfaces in tunnel number one knot complements
• Persistence of Heegaard structures under Dehn filling
• Unstabilized self-amalgamation of a Heegaard splitting
• The Heegaard distances cover all nonnegative integers
• The Heegaard genus of amalgamated 3-manifolds
• High distance Heegaard splittings via Dehn twists
• Heegaard splittings of distance exactly \(n\)
• Are large distance Heegaard splittings generic?
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The geometry of the disk complex
• 3-manifolds as viewed from the curve complex

This page was built for publication: Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings