Reducible and $\partial $-reducible handle additions

DOI10.1090/S0002-9947-08-04761-2zbMath1169.57016OpenAlexW1544629815MaRDI QIDQ3623377

Ruifeng Qiu, Ming Xing Zhang

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04761-2

zbMATH Keywords

Scharlemann cycleirreducible manifoldhandle addition

Mathematics Subject Classification ID

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

Related Items (3)

2-handle additions producing toroidal and reducible manifolds ⋮ Toroidal handle additions and thrice punctured essential torus ⋮ \(\partial\)-reducible handle additions

Cites Work

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• Handle additions producing essential surfaces
• Boundary reducible handle additions on simple 3-manifolds
• On the boundary curves of incompressible surfaces
• The reducibility of surgered 3-manifolds
• Reducible Dehn surgery and annular Dehn surgery
• Reducible manifolds and Dehn surgery
• The distance between two separating, reducing slopes is at most \(4\)
• On composite twisted unknots
• Small knots and large handle additions
• Dehn surgery on knots

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