On the Visibility of Alternating +Achiral Knots
arXiv:1503.01897
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.
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