Heegaard splittings and singularities of the product map of Morse functions

DOI10.1090/S0002-9947-2013-06015-1zbMath1287.57028arXiv1205.1206MaRDI QIDQ5401759

Kazuto Takao

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1206

zbMATH Keywords

stabilizationHeegaard splittingMorse functionRubinstein-Scharlemann graphic

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Singularities of differentiable mappings in differential topology (57R45)

Cites Work

• Unnamed Item
• A refinement of Johnson's bounding for the stable genera of Heegaard splittings
• Stabilization of Heegaard splittings
• The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map
• Zur dreidimensionalen Topologie
• Comparing Heegaard splittings of non-Haken 3-manifolds
• Elimination of cusps
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• Stability of \(C^ \infty\) mappings. V: Transversality
• Stable functions and common stabilizations of Heegaard splittings
• Morse Theory. (AM-51)
• Differential Topology
• The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S¹
• Three-Dimensional Manifolds and Their Heegaard Diagrams
• Bounding the stable genera of Heegaard splittings from below

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