Rank and genus of 3-manifolds
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Publication:4924067
DOI10.1090/S0894-0347-2013-00767-5zbMath1277.57004arXiv1106.6302OpenAlexW2065950755MaRDI QIDQ4924067
Publication date: 30 May 2013
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.6302
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Cites Work
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- Rank gradient, cost of groups and the rank versus Heegaard genus problem
- Heegaard genus of closed orientable Seifert 3-manifolds
- Heegaard surfaces and measured laminations. I: the Waldhausen conjecture
- On the geometric and the algebraic rank of graph manifolds
- Heegaard surfaces and the distance of amalgamation
- Proximity in the curve complex: boundary reduction and bicompressible surfaces
- Incompressible surfaces in 2-bridge knot complements
- Reducing Heegaard splittings
- On the boundary curves of incompressible surfaces
- The tunnel number of the sum of \(n\) knots is at least \(n\)
- Local detection of strongly irreducible Heegaard splittings
- Heegaard structures of negatively curved 3-manifolds
- Combinatorial group theory.
- Persistence of Heegaard structures under Dehn filling
- The asymptotic behaviour of Heegaard genus
- Heegaard structures of manifolds in the Dehn filling space
- The Heegaard genus of amalgamated 3-manifolds
- Saddle tangencies and the distance of Heegaard splittings
- Sweepouts of amalgamated 3-manifolds
- Alternate Heegaard genus bounds distance
- On irreducible 3-manifolds which are sufficiently large
- On equivalent sets of elements in a free group
- Heegaard splittings and pseudo-Anosov maps
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S1
- Hyperbolic volume, Heegaard genus and ranks of groups
- Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds
- 3-manifolds as viewed from the curve complex
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