Persistence of Heegaard structures under Dehn filling

DOI10.1016/S0166-8641(99)00147-9zbMath0968.57018MaRDI QIDQ1841978

Yo'av Rieck, Eric Sedgwick

Publication date: 19 September 2001

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

zbMATH Keywords

Dehn surgery3-manifoldHeegaard surfaceHeegaard genus

Mathematics Subject Classification ID

Related Items (11)

LIFTED HEEGAARD SURFACES AND VIRTUALLY HAKEN MANIFOLDS ⋮ Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings ⋮ Obtaining genus 2 Heegaard splittings from Dehn surgery ⋮ Dehn filling and the geometry of unknotting tunnels ⋮ Heegaard genus and rank of augmented link complements ⋮ Computing Heegaard Genus is NP-Hard ⋮ Knot exteriors with additive Heegaard genus and Morimoto's conjecture ⋮ Rank and genus of 3-manifolds ⋮ Heegaard surfaces and the distance of amalgamation ⋮ Heegaard splittings of twisted torus knots ⋮ Bridge number, Heegaard genus and non-integral Dehn surgery

Cites Work

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• Incompressible planar surfaces in 3-manifolds
• A representation of orientable combinatorial 3-manifolds
• Reducing Heegaard splittings
• On the boundary curves of incompressible surfaces
• Heegaard structures of negatively curved 3-manifolds
• Boundary slopes for knots
• Heegaard structures of manifolds in the Dehn filling space
• Singular Points of Complex Hypersurfaces. (AM-61)

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