An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary

DOI10.2140/agt.2008.8.911zbMath1154.57018arXiv0709.0376OpenAlexW3103386119MaRDI QIDQ945642

Marc Lackenby

Publication date: 17 September 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0376

zbMATH Keywords

tunnel numberHeegaard genussimple 3-manifold

Mathematics Subject Classification ID

Related Items (10)

Counting essential surfaces in \(3\)-manifolds ⋮ Heegaard structure respects complicated JSJ decompositions ⋮ Quadrilateral–Octagon Coordinates for Almost Normal Surfaces ⋮ The tunnel numbers of all 11- and 12-crossing alternating knots ⋮ 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold ⋮ The Morse–Novikov number of knots under connected sum and cabling ⋮ Explicit angle structures for veering triangulations ⋮ Additive invariants for knots, links and graphs in 3-manifolds ⋮ Efficient triangulations and boundary slopes ⋮ Destabilizing Heegaard splittings of knot exteriors

Cites Work

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• Cobordism of automorphisms of surfaces
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• Almost normal surfaces in 3-manifolds
• Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds
• Algorithmic topology and classification of 3-manifolds

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