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On the visibility of the +achirality of alternating knots
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2021-03-01 , DOI: 10.4310/cag.2021.v29.n2.a5
Nicola Ermotti 1 , Cam Van Quach Hongler 1 , Claude Weber 1
Affiliation  

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 $4$.

中文翻译:

关于交替结的+非手性的可见性

本文致力于主要交替+非手性结的研究。在树状结的情况下,我们在+ AAA可见性定理5.1中证明,对称性在某个投影上可见(不一定是最小的),并且可以通过阶次同构$ 4 $实现。在一般情况下(无论是否呈树状),如果主要交替结没有最小可见的非手性投影,则我们证明+非手性的阶必定等于$ 4 $。
更新日期:2021-04-20
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