Unexpected Essential Surfaces among Exteriors of Twisted Torus Knots
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Publication:6356337
DOI10.2140/AGT.2022.22.3965arXiv2012.09599MaRDI QIDQ6356337
Publication date: 17 December 2020
Abstract: 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.
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