Attaching handlebodies to 3-manifolds

DOI10.2140/gt.2002.6.889zbMath1021.57010arXivmath/0109059OpenAlexW3101376548MaRDI QIDQ1811534

Marc Lackenby

Publication date: 16 June 2003

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109059

zbMATH Keywords

3-manifoldhandlebodyword hyperbolic

Mathematics Subject Classification ID

Related Items (10)

Heegaard splittings and pseudo-Anosov maps ⋮ Geometric limits of knot complements. II: Graphs determined by their complements ⋮ Small knots and large handle additions ⋮ On distance degenerating handlebody fillings ⋮ Surface subgroups and handlebody attachment ⋮ Efficient triangulations and boundary slopes ⋮ A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus ⋮ Dehn filling in relatively hyperbolic groups. ⋮ Bounded combinatorics and uniform models for hyperbolic 3-manifolds ⋮ DEHN SURGERY ON SINGULAR KNOTS

Cites Work

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• Universal bounds for hyperbolic Dehn surgery
• Tubular neighborhood of totally geodesic hypersurfaces in hyperbolic manifolds
• Word hyperbolic Dehn surgery
• Boundary slopes of immersed surfaces in 3-manifolds
• Spherical space forms and Dehn filling
• On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds
• Minimal Surfaces in Manifolds with S 1 Actions and the Simple Loop Conjecture for Seifert Fibered Spaces
• Measured foliations and handlebodies
• On the geometry and dynamics of diffeomorphisms of surfaces
• Riemannian geometry

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