HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
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Publication:3004776
DOI10.1142/S0218216511009418zbMath1226.57030MaRDI QIDQ3004776
Ruifeng Qiu, Jiming Ma, Kun Du, Ming Xing Zhang
Publication date: 3 June 2011
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Related Items (10)
A note on the uniqueness of unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ A note on bicompressible surface and unstabilized amalgamated Heegaard splitting ⋮ Minimal Heegaard genus of amalgamated 3-manifolds ⋮ On unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ Essential closed surfaces in surface sum of product \(I\)-bundle of closed surfaces ⋮ The amalgamation of high distance Heegaard splittings along tori ⋮ Heegaard genera of high distance are additive under annulus sum ⋮ The Heegaard genera of surface sums ⋮ A note on tunnel number of composite knots ⋮ A note on Heegaard splittings of amalgamated 3-manifolds
Cites Work
- Heegaard splittings of Haken manifolds have bounded distance.
- Heegaard genus of the connected sum of \(m\)-small knots
- The amalgamation of high distance Heegaard splittings is always efficient
- Proximity in the curve complex: boundary reduction and bicompressible surfaces
- Reducing Heegaard splittings
- The tunnel number of the sum of \(n\) knots is at least \(n\)
- Local detection of strongly irreducible Heegaard splittings
- Additivity of tunnel number for small knots
- Alternate Heegaard genus bounds distance
- Separating incompressible surfaces and stabilizations of Heegaard splittings
- 3-manifolds as viewed from the curve complex
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