Alternating links with totally geodesic checkerboard surfaces
Geometric Topology
2021-12-01 v3
Abstract
We prove that alternating links with two totally geodesic checkerboard surfaces are three links with projection the 1-skeleton of the octahedron, the cuboctahedron and the icosidodecahedron. We also characterize these links as right-angled completely realisable links and show that all hyperbolic weaving knots with two exceptions have both checkerboard surfaces not totally geodesic.
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Cite
@article{arxiv.2005.07904,
title = {Alternating links with totally geodesic checkerboard surfaces},
author = {Hong-Chuan Gan},
journal= {arXiv preprint arXiv:2005.07904},
year = {2021}
}
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