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论文类型：期刊论文

发表时间：2019-09-15

发表刊物：TOPOLOGY AND ITS APPLICATIONS

收录刊物：SCIE

卷号：265

ISSN号：0166-8641

关键字：Handle additions; Degenerating slopes; partial derivative-Reducible handle additions

摘要：Let M be a simple 3-manifold, and F be a component of partial derivative M of genus at least 2. Let alpha and beta be separating slopes on F. Let M(alpha) (resp. M(beta)) be the manifold obtained by adding a 2-handle along a (resp. beta). If M(alpha) and M(beta) are a-reducible, then the minimal geometric intersection number of alpha and beta is at most 8. (C) 2019 Elsevier B.V. All rights reserved.