Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture
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Publication:2855919
DOI10.1090/S0002-9939-2013-11700-4zbMath1282.57015WikidataQ123367162 ScholiaQ123367162MaRDI QIDQ2855919
Xunbo Yin, Guo-Qiu Yang, Feng Chun Lei
Publication date: 23 October 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Cites Work
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- Heegaard genus of the connected sum of \(m\)-small knots
- Knot exteriors with additive Heegaard genus and Morimoto's conjecture
- Knots with \(g(E(K))=2\) and \(g(E(K\#K\#K))=6\) and Morimoto's conjecture
- Reducing Heegaard splittings
- The tunnel number of the sum of \(n\) knots is at least \(n\)
- Closed incompressible surfaces in complements of wide knots and links
- Local detection of strongly irreducible Heegaard splittings
- On the additivity of tunnel number of knots
- Generalized Montesinos knots, tunnels and \({\mathcal N}\)-torsion
- Heegaard structures of negatively curved 3-manifolds
- On the super additivity of tunnel number of knots
- Additivity of tunnel number for small knots
- Tunnel number, connected sum and meridional essential surfaces
- 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
- Tunnel numbers of small knots do not go down under connected sum
- There are Knots whose Tunnel Numbers go down under Connected Sum
- Examples of tunnel number one knots which have the property ‘1 + 1 = 3’
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