Triangulations and Nonorientable Incompressible Surfaces

被引：0
|
作者：
Liu, Zhenyi [1 ]
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
来源：
TOPOLOGY AND GEOMETRY IN DIMENSION THREE: TRIANGULATIONS, INVARIANTS, AND GEOMETRIC STRUCTURES | 2011年 / 560卷
关键词：
SEIFERT FIBERED-SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we classify all nonorientable incompressible surfaces, up to isotopy, in the generalized quaternion spaces S-3/Q(4k), which are M-k = (S-2 : (2,1), (2,1), (k, -k + 1)), k >= 1. The techniques used can also be expanded to give the classification of nonorientable incompressible surfaces in the minimal layered chain pair triangulations of Seifert fibered spaces M-r,M-s = (S-2 : (2, -1), (r + 1,1), (s + 1, 1)), r,s >= 1.
引用
收藏
页码：55 / 70
页数：16
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