Small knots and large handle additions

DOI10.1007/s11464-005-0024-0zbMath1222.57017arXivmath/0402120OpenAlexW1970918871MaRDI QIDQ5895028

Shi Cheng Wang, Ruifeng Qiu

Publication date: 13 October 2011

Published in: Communications in Analysis and Geometry, Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402120

zbMATH Keywords

handlebodyorientable manifoldsimple small knot

Mathematics Subject Classification ID

Related Items (4)

The distance between two separating, reducing slopes is at most \(4\) ⋮ Knots and surfaces ⋮ Reducible and $\partial $-reducible handle additions ⋮ 2-STRING FREE TANGLES AND INCOMPRESSIBLE SURFACES

Cites Work

• On the boundary curves of incompressible surfaces
• Attaching handlebodies to 3-manifolds
• Adding a 2-Handle to a 3-Manifold: An Application to Property R
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2
• Dehn surgery on knots
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