Knots with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>K</mml:mi><mml:mi mathvariant="normal">#</mml:mi><mml:mi>K</mml:mi><mml:mi mathvariant="normal">#</mml:mi><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math> and Morimoto's Conjecture-Reference-Cited by-同舟云学术

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Knots with g(E(K))=2 and g(E(K#K#K))=6 and Morimoto's Conjecture

Published:2009-03 Issue:6 Volume:156 Page:1114-1117
ISSN:0166-8641
Container-title:Topology and its Applications
language:en
Short-container-title:Topology and its Applications

Author:

Kobayashi Tsuyoshi,Rieck Yo'av

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference16 articles.

1. Reducing Heegaard splittings;Casson;Topology Appl.,1987

2. 3-manifolds as viewed from the curve complex;Hempel;Topology,2001

3. Lectures on Three-Manifold Topology;Jaco,1980

4. On the growth rate of the tunnel number of knots;Kobayashi;J. Reine Angew. Math.,2006

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The growth rate of the tunnel number of m-small knots;Pacific Journal of Mathematics;2018-03-13

2. The spectrum of the growth rate of the tunnel number is infinite;Proceedings of the American Mathematical Society;2016-02-02

3. Tunnel number one knots, -small knots and the Morimoto conjecture;Proceedings of the American Mathematical Society;2013-08-16

4. Meridional destabilizing number of knots;Algebraic & Geometric Topology;2011-04-23

5. Destabilizing Heegaard splittings of knot exteriors;Topology and its Applications;2010-01

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