Communications in Analysis and Geometry
Volume 29 (2021)
On the visibility of the +achirality of alternating knots
Pages: 409 – 463
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 $4$.
Received 15 March 2015
Accepted 15 August 2018
Published 19 April 2021