Characterization of 3-punctured spheres in non-hyperbolic link exteriors
Mario Eudave-Munoz, Makoto Ozawa
TL;DR
This paper characterizes certain non-hyperbolic 3-component links in the 3-sphere that contain essential 3-punctured spheres with specific boundary slopes, and explores embeddings of multibranched surfaces satisfying homological conditions.
Contribution
It provides a detailed characterization of non-hyperbolic links with essential 3-punctured spheres and demonstrates the existence of special embeddings of multibranched surfaces in the 3-sphere.
Findings
Identification of non-hyperbolic 3-component links with essential 3-punctured spheres
Existence of embeddings of multibranched surfaces satisfying homological conditions
Characterization of boundary slopes of these spheres
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology