环补中的本质环面：用单调化简法检测卫星结构的不可能性
Essential tori in link complements: impossibility of detecting the satellite structure by monotonic simplification
摘要：
在最近的工作“弧表示的链接：单调简化”伊万Dynnikov表明，每个矩形图的unknot，复合链接，或分裂链接可以单调简化成平凡，复合，或分裂图，分别。下面的自然问题出现了：是否总是可以单调地简化一个卫星结或链接到一个卫星结构的矩形图？在这里，我们对这个问题给出了否定的答案。
英文摘要：
In a recent work "Arc-presentation of links: Monotonic simplification" Ivan Dynnikov showed that each rectangular diagram of the unknot, composite link, or split link can be monotonically simplified into a trivial, composite, or split diagram, respectively. The following natural question arises: Is it always possible to simplify monotonically a rectangular diagram of a satellite knot or link into one where the satellite structure is seen? Here we give a negative answer to that question.
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。
