论文标题
在环形演示文稿中,可二元化模式和RGB-DIAGRAS
On annulus presentations, dualizable patterns and RGB-diagrams
论文作者
论文摘要
一个结的$ 0 $跟踪是$ 4 $ - manifold,以$ 0 $ framing的打结表示。在此手稿中,我们调查了用差异$ 0 $ trace构建一对结的方法。特别是,我们专注于Gompf-Miyazaki的可二元模式,Abe-Jong-somae-Takeuchi的频段演示以及由Piccirillo给出的RGB-DIAGRAM,并由作者命名,我们直接在这些方法中介绍了这些关系。作为一种应用,我们提供了足够的条件,即Abe-Jong-somae-Takeuchi的方法重合两个结。
The $0$-trace of a knot is the $4$-manifold represented by the $0$-framing of the knot. In this manuscript, we survey methods constructing a pair of knots with diffeomorphic $0$-traces. In particular, we focus on Gompf-Miyazaki's dualizable pattern, Abe-Jong-Omae-Takeuchi's band presentation, and RGB-diagram given by Piccirillo and named by the author, and we draw the relations among these methods directly. As an application, we give a sufficient condition that two knots obtained by Abe-Jong-Omae-Takeuchi's method coincide.