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Indexed by:Journal Papers

Date of Publication:2019-09-15

Journal:TOPOLOGY AND ITS APPLICATIONS

Included Journals:SCIE

Volume:265

ISSN No.:0166-8641

Key Words:Handle additions; Degenerating slopes; partial derivative-Reducible handle additions

Abstract: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.