A necessary and sufficient condition for a Heegaard splitting to be keen weakly reducible

DOI10.1016/j.topol.2022.108254zbMath1503.57016OpenAlexW4296698549MaRDI QIDQ2087776

Yunguang Yue, Fengling Li, Feng Chun Lei

Publication date: 21 October 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108254

zbMATH Keywords

Heegaard splittingweakly reduciblekeen

Mathematics Subject Classification ID

General topology of 3-manifolds (57K30)

Cites Work

• Unnamed Item
• Images of the disk complex
• A sufficient condition for a self-amalgamation of a Heegaard splitting to be unstabilized
• On weakly keen Heegaard splittings with distance 2
• Heegaard splittings of Haken manifolds have bounded distance.
• The amalgamation of high distance Heegaard splittings is always efficient
• The self-amalgamation of high distance Heegaard splittings is always efficient
• Proximity in the curve complex: boundary reduction and bicompressible surfaces
• Reducing Heegaard splittings
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• The Heegaard distances cover all nonnegative integers
• On keen weakly reducible Heegaard splittings
• Heegaard splittings of distance exactly \(n\)
• On amalgamations of Heegaard splittings with high distance
• The geometry of the disk complex
• On keen Heegaard splittings
• 3-manifolds as viewed from the curve complex