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

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.

arXiv comment11 pages, 7 figures

References in corpus (2)

• 2-dimensional stratifolds
• Unions of 3-punctured spheres in hyperbolic 3-manifolds

Cited by in corpus (1)

• A partial order on multibranched surfaces in 3-manifolds