We consider orientable closed 3-manifolds obtained by Dehn surgery with rational coefficients along the components of certain periodic links. These manifolds were introduced in [Osaka J. Math. 39 (2002), 705-721] as natural generalizations of Takahashi manifolds. In this note we re-obtain the result of [Osaka J. Math. 39 (2002)] by a different approach based on a group-theoretic argument from [Tsukuba J. Math. 22 (1998), 723-739]. This permits to simplify some proofs of [Osaka J. Math. 39 (2002)] and to obtain some new related results.
Periodic links and manifolds / E., Barbieri; Spaggiari, Fulvia. - In: JP JOURNAL OF GEOMETRY AND TOPOLOGY. - ISSN 0972-415X. - STAMPA. - 4:(2004), pp. 35-52.
Periodic links and manifolds
SPAGGIARI, Fulvia
2004
Abstract
We consider orientable closed 3-manifolds obtained by Dehn surgery with rational coefficients along the components of certain periodic links. These manifolds were introduced in [Osaka J. Math. 39 (2002), 705-721] as natural generalizations of Takahashi manifolds. In this note we re-obtain the result of [Osaka J. Math. 39 (2002)] by a different approach based on a group-theoretic argument from [Tsukuba J. Math. 22 (1998), 723-739]. This permits to simplify some proofs of [Osaka J. Math. 39 (2002)] and to obtain some new related results.
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