论文标题

自动偶像地图III:投影链接

Self-dual Maps III: projective links

论文作者

Montejano, L., Alfonsin, J. Ramirez, Rasskin, I.

论文摘要

在本文中,我们提出了链接的必要和足够的组合条件,即$ rp^3 $中的链接。该特征与反式自偶联和对称的对称图的概念密切相关。我们还讨论了对称周期的概念,这是一个有趣的问题,这是在投影链接中引起的,这使我们易于防止投射链接交替的条件。

In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in $RP^3$. This characterization is closely related to the notions of antipodally self-dual and antipodally symmetric maps. We also discuss the notion of symmetric cycle, an interesting issue arising in projective links leading us to an easy condition to prevent a projective link to be alternating.

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