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5. A sufficient condition for the genus of an amalgamated 3-manifold not to go down

A sufficient condition for the genus of an amalgamated 3-manifold not to go down

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yeah88

【摘 要】

：

Let M i be a connected, compact, orientable 3-manifold, F i a boundary component of M i with g(F i ) 2, i = 1, 2, and F 1 ≌ F 2 . Let  : F 1 → F 2 be a home

【作 者】

：

Li FengLing Yang GuoQiu Lei Fe 

【机 构】

：

HarbinInstTechnol,DalianUnivTechnol

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2010年7期

【关键词】

：

AMALGAMATION ESSENTIAL surface Heegaard GENUS amalgamationessential surfaceHeega 

【基金项目】

：

supported in part by a Key Grant of National Natural Science Foundation of China (Grant No. 10931005)

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Let M i be a connected, compact, orientable 3-manifold, F i a boundary component of M i with g(F i ) 2, i = 1, 2, and F 1 ≌ F 2 . Let  : F 1 → F 2 be a homeomorphism, and M = M 1 ∪  M 2 , F = F 2 = (F 1 ). Then it is known that g(M ) g(M 1 ) + g(M 2 )

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