生成曲面的几何估计
Geometric estimates from spanning surfaces
摘要：
我们推导出的子午线长度和双曲纽结的尖点体积的结所跨越的本质曲面的拓扑方面的界限。我们提供了一个算法检查的标准，保证子午线长度的双曲结低于给定的界限。作为应用，我们找到了双曲型充分纽结的子午线长度和尖点体积的纽结图解上界，并得到了子午线长度为4以上的纽结的新的大家族。我们还讨论了我们的研究结果Dehn手术的应用。
英文摘要：
We derive bounds on the length of the meridian and the cusp volume of hyperbolic knots in terms of the topology of essential surfaces spanned by the knot. We provide an algorithmically checkable criterion that guarantees that the meridian length of a hyperbolic knot is below a given bound. As applications we find knot diagrammatic upper bounds on the meridian length and the cusp volume of hyperbolic adequate knots and we obtain new large families of knots with meridian lengths bounded above by four. We also discuss applications of our results to Dehn surgery.
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。
