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Alternating links with totally geodesic checkerboard surfaces
Published 16 May 2020 in math.GT | (2005.07904v3)
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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