SURGERY DESCRIPTIONS AND VOLUMES OF BERGE KNOTS I: LARGE VOLUME BERGE KNOTS

SURGERY DESCRIPTIONS AND VOLUMES OF BERGE KNOTS I: LARGE VOLUME BERGE KNOTS
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手术描述和 BERGE 结的体积 I:大体积 BERGE 结

DOI:
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发表时间:
2005
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影响因子:
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通讯作者:
K. Baker
K. Baker
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文献类型:
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作者:
K. Baker

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通过获得外科手术描述的结,躺在属一个纤维的三叶草或图8结,我们表明,这些包括双曲结任意大的体积。这些结允许透镜空间手术,并形成两个家庭的伯格结。通过缠结的描述,我们也获得手术描述这些结最小扭曲链链接。
By obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.