Stable maps and hyperbolic links
Geometric Topology
2021-06-01 v3
Abstract
A stable map of a closed orientable -manifold into the real plane is called a stable map of a link in the manifold if the link is contained in the set of definite fold points. We give a complete characterization of the hyperbolic links in the -sphere that admit stable maps into the real plane with exactly one (connected component of a) fiber having two singular points.
Cite
@article{arxiv.2103.00894,
title = {Stable maps and hyperbolic links},
author = {Ryoga Furutani and Yuya Koda},
journal= {arXiv preprint arXiv:2103.00894},
year = {2021}
}
Comments
22 pages, 35 figures; final version, to appear in Comm. Anal. Geom