Dehn Surgeries on 2-bridge Links Which Yield Reducible 3-manifolds
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چکیده
No surgery on a non-torus 2-bridge knot yields a reducible 3-manifold as shown in Theorem 2(a) in [7] by A. Hatcher and W. Thurston. Dehn surgeries on 2-bridge knots are already well studied by M. Brittenham and Y.-Q. Wu in [2]. See also [11]. On 2-bridge links of 2-components, Wu showed in [13, Theorem 5.1 and Remark 5.5] the following theorem. The universal covering space of a laminar 3-manifoldM is the Euclidean 3-space R, and then M is not reducible by [4].
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تاریخ انتشار 2005