Abstract
We prove that alternating links with two totally geodesic checkerboard surfaces are three links with projection the –skeleton of the octahedron, the cuboctahedron and the icosidodecahedron. Then we characterize these links as right-angled completely realizable links and show that all hyperbolic weaving knots with two exceptions have both checkerboard surfaces not totally geodesic.
Citation
Hong-Chuan Gan. "Alternating links with totally geodesic checkerboard surfaces." Algebr. Geom. Topol. 21 (6) 3107 - 3122, 2021. https://doi.org/10.2140/agt.2021.21.3107
Information