AN ESTIMATION OF HEMPEL DISTANCE BY USING REEB GRAPH

DOI10.1142/S0218216511009327zbMath1228.57008arXiv1002.3034OpenAlexW2963619248MaRDI QIDQ3173278

Ayako Ido

Publication date: 27 September 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3034

zbMATH Keywords

Heegaard splitting3-manifoldReeb graphHeegaard genusHempel distance

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (1)

Isotoping Heegaard surfaces in neat positions with respect to critical distance Heegaard surfaces

Cites Work

• The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map
• Comparing Heegaard splittings of non-Haken 3-manifolds
• Saddle tangencies and the distance of Heegaard splittings
• Alternate Heegaard genus bounds distance
• On irreducible 3-manifolds which are sufficiently large
• Stability of \(C^ \infty\) mappings. V: Transversality
• Stable functions and common stabilizations of Heegaard splittings
• Differential Topology
• 3-manifolds as viewed from the curve complex

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