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arXiv 1503.01897math.GT
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关于交替+非手征纽结的可见性

On the Visibility of Alternating +Achiral Knots

Nicola Ermotti, Cam Van Quach Hongler, Claude Weber

备注：
42 pages, 34 figures, includes a number of corrections and clarifications over the previous version, as well as figure modifications. This version is to appear in Communications in Analysis and Geometry
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摘要：

本文主要研究素数交错+非手性纽结。在树状结的情况下，我们证明+AAA可见性定理5.1，对称性是可见的，在一定的投影（不一定是最小的），它是实现了一个同胚的顺序4。在一般情况下（树型或非树型），如果素数交错纽结没有最小投影上的+非手性是可见的，我们证明了+非手性的顺序必然等于4。

英文摘要：

This article is devoted to the study of prime alternating +achiral knots. In the case of arborescent knots, we prove in +AAA Visibility Theorem 5.1, that the symmetry is visible on a certain projection (not necessarily minimal) and that it is realised by a homeomorphism of order 4. In the general case (arborescent or not), if the prime alternating knot has no minimal projection on which +achirality is visible, we prove that the order of +achirality is necessarily equal to 4.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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