论文标题

关于彩色琼斯多项式和任意颜色的潜在功能

On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors

论文作者

Sawabe, Shun

论文摘要

我们考虑了带有任意颜色的链接的彩色琼斯多项式的潜在功能,并获得了链接补充的锥体模型结构。此外,我们建立了鞍点方程与链接补充的双曲线之间的关系。这为链链补充的陈阳猜想提供了证据。

We consider the potential function of the colored Jones polynomial for a link with arbitrary colors and obtain the cone-manifold structure for the link complement. In addition, we establish a relationship between a saddle point equation and hyperbolicity of the link complement. This provides evidence for the Chen-Yang conjecture on the link complement.

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