On δ-reducible Heegaard Splittings  

边界可约的Heegaard分解(英文)

作　　者：马继明[1] 雷逢春[2] 

机构地区：[1]吉林大学数学学院,吉林长春130012 [2]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《Journal of Mathematical Research and Exposition》2005年第2期287-291,共5页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (10171024, 10171038)

摘　　要：In this paper, we shall prove that any Heegaard splitting of a δ-reducible 3-manifold M, say M = W U V, can be obtained by doing connected sums, boundary connected sums and self-boundary connected sums from Heegaard splittings of n manifolds M1,..., Mn, where Mi is either a solid torus or an irreducible, δ-irreducible manifold.本文证明了任意边界可约流形的Heegaard分解都是n个不可约的、边界不可约的三维流形的Heegaard分解通过连通和、边界连通和及边界自连通和运算而得到.

关 键 词：connected sum boundary connected sum self-boundaxy connected sum. 

分 类 号：O189.33[理学—数学]