论文标题
扭曲的圆环的外观中意外的基本表面
Unexpected Essential Surfaces among Exteriors of Twisted Torus Knots
论文作者
论文摘要
扭曲的圆环K（P，Q; R，S）是通过在（P，Q） - torus结的相邻链上进行完整的曲线来获得的。莫里莫托（Morimoto）询问外观中的所有扭曲的圆环结是否为两个家庭之一。我们证明了这个问题的答案是否定的，它是找到两个不同的圆环圆环结的家族。
The twisted torus knots K(p, q; r, s) are obtained by performing a sequence of s full twists on r adjacent strands of (p, q)-torus knots. Morimoto asked whether all twisted torus knots with essential tori in the exterior fit into one of two families. We prove that the answer to this question is no, by finding two different new families of toroidal twisted torus knots.
