A note on Heegaard splittings of amalgamated 3-manifolds

DOI10.1007/s11401-011-0641-8zbMath1297.57048OpenAlexW2086506461MaRDI QIDQ741429

Kun Du, Xutao Gao

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0641-8

zbMATH Keywords

stabilizationdistancestrongly irreducible

Mathematics Subject Classification ID

Related Items (7)

A note on the uniqueness of unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ A note on bicompressible surface and unstabilized amalgamated Heegaard splitting ⋮ Minimal Heegaard genus of amalgamated 3-manifolds ⋮ On unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ A sufficient condition for a self-amalgamation of a Heegaard splitting to be unstabilized ⋮ Unstabilized and uncritical self-amalgamation along essential subsurfaces ⋮ Some results on Heegaard splitting

Cites Work

• Heegaard splittings of Haken manifolds have bounded distance.
• The amalgamation of high distance Heegaard splittings is always efficient
• Connected sums of unstabilized Heegaard splittings are unstabilized
• The self-amalgamation of high distance Heegaard splittings is always efficient
• The Heegaard genera of surface sums
• Proximity in the curve complex: boundary reduction and bicompressible surfaces
• A proof of the Gordon conjecture
• Reducing Heegaard splittings
• Local detection of strongly irreducible Heegaard splittings
• The Heegaard genus of amalgamated 3-manifolds
• Saddle tangencies and the distance of Heegaard splittings
• HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
• Separating incompressible surfaces and stabilizations of Heegaard splittings
• On amalgamations of Heegaard splittings with high distance
• A lower bound of genus of amalgamations of Heegaard splittings
• The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S¹
• 3-manifolds as viewed from the curve complex
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