几乎交错环链补中的不可压缩曲面

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 621-626.

几乎交错环链补中的不可压缩曲面

School of Mathematics,Liaoning Normal University,Dalian 116029,China

收稿日期:2006-12-30 出版日期:2007-12-30 发布日期:2023-10-24
作者简介: HAN You-fa(1962-), male, native of Changchun, Jilin, a professor of Liaoning Normal University, Ph.D., engages in low-dimension topology.
基金资助:
Supported by NSF of China(10171024)； Supported by Liaoning Educational Committee(05L208)；

Incompressible Surfaces in Almost Alternating Link Exteriors

School of Mathematics,Liaoning Normal University,Dalian 116029,China

Received:2006-12-30 Online:2007-12-30 Published:2023-10-24
About author: HAN You-fa(1962-), male, native of Changchun, Jilin, a professor of Liaoning Normal University, Ph.D., engages in low-dimension topology.
Supported by:
Supported by NSF of China(10171024)； Supported by Liaoning Educational Committee(05L208)；

摘要/Abstract

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 S3-L.First,we give the properties that the surface F intersects with 2-spheres in S3-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.

关键词: almost alternating link, incompressible pairwise incompressible surface, stan- dard position, genus

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 S3-L.First,we give the properties that the surface F intersects with 2-spheres in S3-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.

Key words: almost alternating link, incompressible pairwise incompressible surface, stan- dard position, genus

中图分类号:

O189.3

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.

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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