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arXiv · 2005.07904

Alternating links with totally geodesic checkerboard surfaces

Hong-Chuan Gan
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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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BibTeXRIS

Hong-Chuan Gan. 2020-05-16. Alternating links with totally geodesic checkerboard surfaces. https://doi.org/10.2140/agt.2021.21.3107

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