Almost normal surfaces in 3-manifolds

DOI10.1090/S0002-9947-99-02296-5zbMath0933.57016MaRDI QIDQ4700126

Michelle Stocking

Publication date: 1 November 1999

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

zbMATH Keywords

Heegaard splittingthin position

Mathematics Subject Classification ID

Related Items

The disjoint curve property ⋮ Counting essential surfaces in \(3\)-manifolds ⋮ Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds ⋮ Heegaard structure respects complicated JSJ decompositions ⋮ Triangulations of \(3\)-manifolds with essential edges ⋮ Heegaard surfaces and measured laminations. I: the Waldhausen conjecture ⋮ Dehn filling and the geometry of unknotting tunnels ⋮ 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold ⋮ Locally helical surfaces have bounded twisting ⋮ An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary ⋮ Algorithmic recognition of 3-manifolds ⋮ The computational complexity of basic decision problems in 3-dimensional topology ⋮ An algorithm to determine the Heegaard genus of a 3-manifold ⋮ Heegaard splittings, the virtually Haken conjecture and property \((\tau)\) ⋮ Topological index theory for surfaces in 3-manifolds ⋮ Heegaard splittings with boundary and almost normal surfaces ⋮ From normal surfaces to normal curves to geodesics on surfaces ⋮ Essential normal and spun normal surfaces in 3-manifolds ⋮ Meridional almost normal surfaces in knot complements ⋮ Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds ⋮ Algorithms for recognizing knots and 3-manifolds ⋮ Non-orientable fundamental surfaces in Lens spaces ⋮ Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem ⋮ Ideal triangulations of 3-manifolds II; taut and angle structures

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