| 几乎交错环链补中的不可压缩曲面 |
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| 引用本文： | 韩友发,牛方平,张放.几乎交错环链补中的不可压缩曲面[J].数学季刊,2007,22(4):621-626. |
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| 作者姓名： | 韩友发 牛方平 张放 |
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| 作者单位： | School of Mathematics，Liaoning Normal University，Dalian 116029，China |
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| 基金项目： | 国家自然科学基金;辽宁省教育厅资助项目 |
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| 摘 要： | In this paper,we discuss mainly the properties of incompressible pairwies incom- prcssiblc surfaccs in almost altcrnating link complcmcnts. Lct L bca almost link and lct F be an incompressible palrwise incompressible surface in S~3-L.First,we give the properties that the surface F intersects with 2-spheres in S~3-L.The intersection consisting of a collection of circles and saddle-shaped discs is called a topological graph.One can compute the Euler Characteristic number of the surface by calculating the characteristic number of the graph.Next,we prove that if the graph is special simple,then the genus of the surface is zero.
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| 关 键 词： | 交互链环 表面 不可压缩性 标准位 |
| 文章编号： | 1002-0462（2007）04-0621-06 |
| 收稿时间： | 2006-12-30 |
| 修稿时间： | 2006年12月30 |
Incompressible Surfaces in Almost Alternating Link Exteriors |
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| HAN You-fa,NIU Fang-ping,ZHANG Fang.Incompressible Surfaces in Almost Alternating Link Exteriors[J].Chinese Quarterly Journal of Mathematics,2007,22(4):621-626. |
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| Authors: | HAN You-fa NIU Fang-ping ZHANG Fang |
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| Abstract: | In this paper,we discuss mainly the properties of incompressible pairwies incom- prcssiblc surfaccs in almost altcrnating link complcmcnts. Lct L bca almost link and lct F be an incompressible palrwise incompressible surface in S~3-L.First,we give the properties that the surface F intersects with 2-spheres in S~3-L.The intersection consisting of a collection of circles and saddle-shaped discs is called a topological graph.One can compute the Euler Characteristic number of the surface by calculating the characteristic number of the graph.Next,we prove that if the graph is special simple,then the genus of the surface is zero. |
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| Keywords: | almost alternating link incompressible pairwise incompressible surface standard position genus |
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