特殊的三流形手术

Proceedings of the American Mathematical Society, Series B Pub Date : 2021-01-28 DOI:10.1090/bproc/105

K. Baker, Neil R. Hoffman

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引用次数: 1

摘要

Myers证明了没有2个2球边界分量的每一个紧致的、连通的、可定向的33流形都包含一个双曲结。我们利用Ikeda的工作和Adams-Reid的观察，证明了符合上述条件的每33流形都包含一个双曲结，该双曲结允许进行非平凡的非双曲手术，特别是环面手术。最后，我们提出一个关于可简化手术的问题和猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exceptional surgeries in 3-manifolds

Myers shows that every compact, connected, orientable 3 3 -manifold with no 2 2 -sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every 3 3 -manifold subject to the above conditions contains a hyperbolic knot which admits a non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We conclude with a question and a conjecture about reducible surgeries.

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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

自引率

0.00%

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