论文标题

与完全测量的棋盘表面交替链接

Alternating links with totally geodesic checkerboard surfaces

论文作者

Gan, Hong-Chuan

论文摘要

我们证明,与两个完全测量的棋盘板表面交替链接是三个链接,投影是八面体,cuboctahedron和icosidododecahedron的1个骨骼。我们还将这些链接表征为完全可实现的链接,并表明所有双曲线编织结都有两个例外的棋盘表面并非完全地球。

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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