Heegaard splittings of compact 3-manifolds

Abstract

An expository survey article on Heegaard splittings

38 pages, 12 figures

Cited by in corpus (22)

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• Stabilization of Heegaard splittings
• On the Heegaard splittings of amalgamated 3-manifolds
• Waldhausen's Theorem
• Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds
• Holomorphic disks and topological invariants for closed three-manifolds
• Tunnel number degeneration under the connected sum of prime knots
• A characteristics for a surface sum of two handlebodies along an annulus or a once-punctured torus to be a handlebody
• Heegaard splittings of sufficiently complicated 3-manifolds I: Stabilization
• The Heegaard structure of Dehn filled manifolds
• Stabilizations of Heegaard splittings of sufficiently complicated 3-manifolds (Preliminary Report)
• Degenerating slopes with respect to Heegaard distance
• On nonsimple knots in lens spaces with tunnel number one
• A proof of Waldhausen's uniqueness of splittings of S^3 (after Rubinstein and Scharlemann)
• Quasi-homomorphisms on mapping class groups vanishing on a handlebody group
• Stabilization, amalgamation, and curves of intersection of Heegaard splittings
• Describing elements of the genus-2 Goeritz group of $S^3$
• On the treewidth of triangulated 3-manifolds
• Symplectic Heegaard splittings and linked abelian groups
• Combinatorial and geometric methods in topology
• On non-compact Heegaard splittings
• Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds