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Boundary reducible handle additions on simple 3-manifolds
Authors:Yan Nan Li  Rui Feng Qiu  Ming Xing Zhang
Institution:(1) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, P. R. China
Abstract:Let M be a simple manifold, and F be a component of ∂M of genus two. For a slope γ on F, we denote by M(γ) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γ on F. In this paper, we shall prove that there is at most one separating slope γ on F such that M(γ) is -reducible. Supported by NSFC(10801021), NSFC(10625102), SRFDP(20050141011) and SRFDP(20070141035)
Keywords:  -reducible  Scharlemann cycle  simple manifold
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