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

页码：216 / 222

页数：7

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