Scindements de Heegaard des espaces lenticulaires

DOI10.24033/asens.1455zbMath0545.57002OpenAlexW157959566MaRDI QIDQ3334635

Jean-Pierre Otal, Francis Bonahon

Publication date: 1983

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1983_4_16_3_451_0

zbMATH Keywords

lens spacegeneralized projective planeHeegaard splitting of a closed 3-manifold

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items (39)

The disjoint curve property ⋮ On the classification of Heegaard splittings ⋮ HEEGAARD SPLITTINGS OF TRIVIAL ARCS IN COMPRESSION BODIES ⋮ Reducing Heegaard splittings ⋮ Haken spheres for genus two Heegaard splittings ⋮ Heegaard splittings of Seifert fibered spaces ⋮ Heegaard surfaces and measured laminations. I: the Waldhausen conjecture ⋮ Hyperbolic \(H\)-knots in non-trivial lens spaces are not determined by their complement ⋮ Rigidity and symmetry of cylindrical handlebody-knots ⋮ 3-Manifold invariants derived from the intersecting kernels ⋮ Tunnel complexes of 3-manifolds ⋮ Knot commensurability and the Berge conjecture ⋮ Genus one fibered knots in 3-manifolds with reducible genus two Heegaard splittings ⋮ Thin position for knots and 3-manifolds ⋮ Nielsen equivalence and trisections ⋮ The disk complex and 2-bridge knots ⋮ Thin position through the lens of trisections of 4-manifolds ⋮ On non-compact Heegaard splittings ⋮ Saddle tangencies and the distance of Heegaard splittings ⋮ Connected sums of unstabilized Heegaard splittings are unstabilized ⋮ The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³ ⋮ The mapping class groups of reducible Heegaard splittings of genus two ⋮ Genus Two Heegaard Splittings ⋮ An algorithm to determine the Heegaard genus of a 3-manifold ⋮ Alternate Heegaard genus bounds distance ⋮ Knots and surfaces ⋮ Heegaard splittings of graph manifolds ⋮ Miraculous cancellations for quantum \(\mathrm{SL}_2\) ⋮ Networking Seifert surgeries on knots. III ⋮ Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds ⋮ Unknotting annuli and handlebody-knot symmetry ⋮ Special Heegaard diagrams and the Kirby calculus ⋮ A distance for circular Heegaard splittings ⋮ Some results on Heegaard splitting ⋮ Local detection of strongly irreducible Heegaard splittings ⋮ Degree one maps between small 3-manifolds and Heegaard genus ⋮ Decompositions of the 3-sphere and lens spaces with three handlebodies ⋮ Genus 2 Heegaard decompositions of small Seifert manifolds ⋮ Critical Heegaard surfaces

Cites Work

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• Difféotopies des espaces lenticulaires
• Knoten mit zwei Brücken
• On the loop theorem
• Über einfache Kurven auf Vollbrezeln
• Heegard splittings of prime 3-manifolds are not unique
• Zur dreidimensionalen Topologie
• Homotopieringe und Linsenräume
• On irreducible 3-manifolds which are sufficiently large
• Heegaard-Zerlegungen der 3-Sphäre
• Nicht-homöomorphe Heegaard-Zerlegungen vom Geschlecht 2 der zusammenhängenden Summe zweier Linsenräume
• Three-Dimensional Manifolds and Their Heegaard Diagrams

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