论文标题
三方顶点模型和结
Three-partite vertex model and knot invariants
论文作者
论文摘要
这项工作致力于考虑以$ n $ states的顶点模型来构建辫子组发电机的代表，这提供了研究结不变的好方法。当不同的旋转$（N-1）/2 $都位于结上的所有组件上时，就为结一个代数公式不变。该作品总结了从三方顶点模型中输出编织生成器表示的过程。这种表示可以研究具有多色链接的结的不变性，其中结的组件具有不同的旋转。从从三方顶点型号的$ r $ - 久负式获得的辫子发电机的角度研究了带有多色链接的结的公式。由此产生的结$ 5_2 $对应于琼斯多项式和Homfly-pt。
This work is dedicated to the consideration of the construction of a representation of braid group generators from vertex models with $N$-states, which provides a great way to study the knot invariant. An algebraic formula is proposed for the knot invariant when different spins $(N-1)/2$ are located on all components of the knot. The work summarizes procedure outputting braid generator representations from three-partite vertex model. This representation made it possible to study the invariant of a knot with multi-colored links, where the components of the knot have different spins. The formula for the invariant of knot with a multi-colored link is studied from the point of view of the braid generators obtained from the $R$-matrices of three-partite vertex models. The resulting knot invariant $5_2$ corresponds to the Jones polynomial and HOMFLY-PT.
