On Crossing Ball Structure in Knot and Link Complements

Wei Lin

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arXiv · 2101.02945

On Crossing Ball Structure in Knot and Link Complements

Wei Lin

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Abstract

We develop a word mechanism applied in knot and link diagrams for the illustration of a diagrammatic property. We also give a necessary condition for determining incompressible and pairwise incompressible surfaces, that are embedded in knot or link complements. Finally, we give a finiteness theorem and an upper bound on the Euler characteristic of such surfaces.

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Wei Lin. 2021-01-08. On Crossing Ball Structure in Knot and Link Complements. https://arxiv.org/abs/2101.02945

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