点击次数：

论文类型：期刊论文

发表时间：2011-01-01

发表刊物：BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

收录刊物：Scopus、SCIE

卷号：48

期号：1

页面范围：67-77

ISSN号：1015-8634

关键字：Heegaard distance; Heegaard genus; self-amalgamation

摘要：Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - eta(F), where eta(F) is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting V' boolean OR(S') W' of M' under some conditions on the distance of the Heegaard splitting.