Characterization of 3-punctured spheres in non-hyperbolic link exteriors

Mario Eudave-Munoz; Makoto Ozawa

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arXiv · 1805.12523

Characterization of 3-punctured spheres in non-hyperbolic link exteriors

Mario Eudave-Munoz·Makoto Ozawa

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Abstract

In this paper, we characterize non-hyperbolic 3-component links in the 3-sphere whose exteriors contain essential 3-punctured spheres with non-integral boundary slopes. We also show the existence of embeddings of some multibranched surfaces in the 3-sphere which satisfy some homological conditions to be embedded in the 3-sphere.

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Mario Eudave-Munoz, Makoto Ozawa. 2018-05-31. Characterization of 3-punctured spheres in non-hyperbolic link exteriors. https://arxiv.org/abs/1805.12523

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