Heegaard genera of high distance are additive under annulus sum
From MaRDI portal
Publication:968915
DOI10.1016/j.topol.2010.02.009zbMath1189.57020OpenAlexW2033117045MaRDI QIDQ968915
Fengling Li, Feng Chun Lei, Guo-Qiu Yang
Publication date: 10 May 2010
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2010.02.009
Related Items (5)
A note on bicompressible surface and unstabilized amalgamated Heegaard splitting ⋮ Equivariant Heegaard genus of reducible 3-manifolds ⋮ On unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ Essential closed surfaces in surface sum of product \(I\)-bundle of closed surfaces ⋮ A note on tunnel number of composite knots
Cites Work
- Unnamed Item
- Unnamed Item
- Heegaard splittings of Haken manifolds have bounded distance.
- The amalgamation of high distance Heegaard splittings is always efficient
- Proximity in the curve complex: boundary reduction and bicompressible surfaces
- Amalgamations of Heegaard splittings in 3-manifolds without some essential surfaces
- Reducing Heegaard splittings
- The tunnel number of the sum of \(n\) knots is at least \(n\)
- Additivity of tunnel number for small knots
- Connected sums of knots and weakly reducible Heegaard splittings
- Tunnel number, connected sum and meridional essential surfaces
- Alternate Heegaard genus bounds distance
- HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
- On amalgamations of Heegaard splittings with high distance
- A lower bound of genus of amalgamations of Heegaard splittings
- The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S1
- A CONSTRUCTION OF ARBITRARILY HIGH DEGENERATION OF TUNNEL NUMBERS OF KNOTS UNDER CONNECTED SUM
- There are Knots whose Tunnel Numbers go down under Connected Sum
- 3-manifolds as viewed from the curve complex
This page was built for publication: Heegaard genera of high distance are additive under annulus sum
