Reducible and toroidal 3-manifolds obtained by Dehn fillings

DOI10.1016/S0166-8641(96)00065-XzbMath0870.57008OpenAlexW2082275364MaRDI QIDQ675090

Seungsang Oh

Publication date: 2 September 1997

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00065-x

zbMATH Keywords

compact 3-manifoldDehn surgeryhyperbolicDehn fillingboundary slopetoroidalslopereducible

Mathematics Subject Classification ID

Related Items (16)

Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori ⋮ Characteristic submanifold theory and toroidal Dehn filling ⋮ TOROIDAL DEHN SURGERIES ON KNOTS IN S¹ × S² ⋮ Dehn filling, reducible 3-manifolds, and Klein bottles ⋮ Distance between toroidal surgeries on hyperbolic knots in the 3-sphere ⋮ EXAMPLES OF REDUCIBLE AND FINITE DEHN FILLINGS ⋮ Boundary slopes of punctured tori in 3-manifolds ⋮ Characteristic subsurfaces and Dehn filling ⋮ Characteristic subsurfaces, character varieties and Dehn fillings ⋮ DEHN FILLINGS CREATING ESSENTIAL SPHERES AND TORI ⋮ A census of exceptional Dehn fillings ⋮ ON HYPERBOLIC KNOTS REALIZING THE MAXIMAL DISTANCE BETWEEN TOROIDAL SURGERIES ⋮ \(\partial\)-reducible handle additions ⋮ On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings ⋮ Dehn fillings of knot manifolds containing essential once-punctured tori ⋮ On the local structure of \(SL(2,{\mathbb C})\)-character varieties at reducible characters

Cites Work

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• Incompressible planar surfaces in 3-manifolds
• The reducibility of surgered 3-manifolds
• Dehn fillings producing reducible manifolds and toroidal manifolds
• Reducing Dehn filling and toroidal Dehn filling
• Dehn surgeries on knots creating essential tori. I
• Reducible manifolds and Dehn surgery
• Knots are Determined by Their Complements
• Dehn filling, reducible 3-manifolds, and Klein bottles
• Boundary slopes of punctured tori in 3-manifolds
• Dehn surgery on knots

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