On the Visibility of Alternating +Achiral Knots

Nicola Ermotti; Cam Van Quach Hongler; Claude Weber

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arXiv · 1503.01897

On the Visibility of Alternating +Achiral Knots

Nicola Ermotti·Cam Van Quach Hongler·Claude Weber

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Abstract

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.

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Nicola Ermotti, Cam Van Quach Hongler, Claude Weber. 2015-03-06. On the Visibility of Alternating +Achiral Knots. https://arxiv.org/abs/1503.01897

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