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arXiv 1507.04562math.GT
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关于有线切片结和可简化外科手术的注记

A note on cabled slice knots and reducible surgeries

Jeffrey Meier

摘要:

我们考虑的问题,当一个切片结承认一个可还原的Dehn手术。通过分析与这种手术相关的校正项,我们表明,切片结不能承认手术超过两个summands。本文还给出了纽结的正索可切的Heegaard Floer理论必要条件。

英文摘要:

We consider the question of when a slice knot admits a reducible Dehn surgery. By analyzing the correction terms associated to such a surgery, we show that slice knots cannot admit surgeries with more than two summands. We also give a necessary Heegaard Floer theoretic condition for a positive cable of a knot to be slice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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