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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：女
毕业院校：哈尔滨工业大学
学位：博士
所在单位：数学科学学院
学科：基础数学
电子邮箱：fenglingli@dlut.edu.cn
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SOME SUFFICIENT CONDITIONS FOR HEEGAARD GENERA TO BE ADDITIVE UNDER ANNULUS SUM
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论文类型：期刊论文
发表时间：2014-01-01
发表刊物：MATHEMATICA SCANDINAVICA
收录刊物：SCIE
卷号：115
期号：2
页面范围：173-188
ISSN号：0025-5521
摘要：Let M-i be a compact orientable 3-manifold, and A(i) an incompressible annulus on a component F-i of delta m(i), i= 1, 2. Suppose A(1) is separating on F-1 and A(2) is non-separating on F-2. Let M be the annulus sum of M-1 and M-2 along A(1) and A(2). In the present paper we show that if M-i has a Heegaard splitting V-i boolean OR (Si) W-i with Heegaard distance d(S-i) >= 2g(M-i) 5 for i = 1, 2, then g(M) = g(M-1) + g(M-2). Moreover, when g(F-2) >= 2, the minimal Heegaard splitting of M is unique up to isotopy.