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论文类型：期刊论文

发表时间：2009-02-01

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物：SCIE、ISTIC、Scopus

卷号：25

期号：2

页面范围：235-244

ISSN号：1439-8516

关键字：partial derivative-reducible; Scharlemann cycle; simple manifold

摘要：Let M be a simple manifold, and F be a component of a,M of genus two. For a slope gamma on F, we denote by M(gamma) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of gamma on F. In this paper, we shall prove that there is at most one separating slope gamma on F such that M(gamma) is a,-reducible.