The Pants Sum of High Distance Heegaard Splittings

被引：0
|
作者：
Shuxin WANG [1 ]
Nan NI [1 ]
机构：
[1] School of Mathematics,Liaoning Normal University
来源：
JournalofMathematicalResearchwithApplications | 2014年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
pants sum; Heegaard distance; Heegaard genus;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
Let Mibe a compact orientable 3-manifold, and Fibe an incompressible surface on Mi, i = 1, 2. Let f : F1→ F2be a homeomorphism, and M = M1∪fM2. In this paper,under certain assumptions for the attaching surface Fi, we show that if both M1and M2have Heegaard splittings with distance at least 2(g(M1) + g(M2)) + 1, then g(M) = g(M1) + g(M2).
引用
收藏
页码：216 / 222
页数：7
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