A proof of the Gordon conjecture

DOI10.1016/J.AIM.2009.07.004zbMath1180.57025arXiv0801.4581OpenAlexW2027564749WikidataQ122978600 ScholiaQ122978600MaRDI QIDQ1034089

Ruifeng Qiu, Martin G. Scharlemann

Publication date: 10 November 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4581

zbMATH Keywords

Heegaard splittingstabilizedGordon conjecture

Mathematics Subject Classification ID

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

Related Items (18)

A note on the planar surface sum of Heegaard splittings ⋮ A note on the uniqueness of unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ Unstabilized and uncritical dual Heegaard splitting of product \(I\)-bundle ⋮ A note on bicompressible surface and unstabilized amalgamated Heegaard splitting ⋮ Structure of Heegaard splitting of self-amalgamated 3-manifold ⋮ Bilateral self-amalgamation of a Heegaard splitting and Hempel distance ⋮ Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds ⋮ Minimal Heegaard genus of amalgamated 3-manifolds ⋮ Unperturbed weakly reducible non-minimal bridge positions ⋮ 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 ⋮ Unnamed Item ⋮ Unstabilized dual Heegaard splittings of 3-manifolds ⋮ A note on Heegaard splittings of amalgamated 3-manifolds ⋮ Destabilizing Heegaard splittings of knot exteriors ⋮ Strongly irreducible self-amalgamation of a handlebody ⋮ Some results on Heegaard splitting

Cites Work

• Connected sums of unstabilized Heegaard splittings are unstabilized
• Separating incompressible surfaces and stabilizations of Heegaard splittings

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