On periodic Takahashi manifolds
نویسنده
چکیده
In this paper we show that periodic Takahashi 3-manifolds are cyclic coverings of the connected sum of two lens spaces (possibly cyclic coverings of S), branched over knots. When the base space is a 3-sphere, we prove that the associated branching set is a two-bridge knot of genus one, and we determine its type. Moreover, a geometric cyclic presentation for the fundamental groups of these manifolds is obtained in several interesting cases, including the ones corresponding to the branched cyclic coverings of S. Mathematics Subject Classification 2000: Primary 57M12, 57R65; Secondary 20F05, 57M05, 57M25.
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ar X iv : m at h / 04 02 39 3 v 1 [ m at h . G T ] 2 4 Fe b 20 04 CYCLIC BRANCHED COVERINGS OF ( g , 1 ) - KNOTS
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