Heegaard surfaces and measured laminations. I: the Waldhausen conjecture

DOI10.1007/s00222-006-0009-yzbMath1109.57012arXivmath/0408198OpenAlexW2074536553WikidataQ123129244 ScholiaQ123129244MaRDI QIDQ863439

Tao Li

Publication date: 26 January 2007

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408198

zbMATH Keywords

surfacetriangulationsplitting3-manifoldnormalfinitebranched surfaceatoroidalalmost normal0-efficientHeegaard

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items (23)

Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings ⋮ Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds ⋮ MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS ⋮ Big Heegaard distance implies finite mapping class group ⋮ Non degenerating Dehn fillings on genus two Heegaard splittings of knots' complements ⋮ Dehn filling and the geometry of unknotting tunnels ⋮ Stabilizing Heegaard splittings of toroidal 3-manifolds ⋮ Finding non-orientable surfaces in 3-manifolds ⋮ Heegaard genus, degree‐one maps, and amalgamation of 3‐manifolds ⋮ Characterization of 3-bridge links with infinitely many 3-bridge spheres ⋮ KNOTS WITH INFINITELY MANY INCOMPRESSIBLE SEIFERT SURFACES ⋮ Small 3-manifolds with large Heegaard distance ⋮ An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary ⋮ Rank and genus of 3-manifolds ⋮ An algorithm to determine the Heegaard genus of a 3-manifold ⋮ Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann ⋮ Heegaard surfaces and the distance of amalgamation ⋮ Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds ⋮ Nonminimal bridge positions of torus knots are stabilized ⋮ Three-bridge links with infinitely many three-bridge spheres ⋮ Some results on Heegaard splitting ⋮ Finiteness of mapping class groups: locally large strongly irreducible Heegaard splittings ⋮ Decompositions of the 3-sphere and lens spaces with three handlebodies

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