广义杨-巴克斯特方程的链环不变量
Invariants of links from the generalized Yang-Baxter equation
摘要：
增强的Yang-Baxter算子产生有向链接的不变量。我们将增强方法推广到广义Yang-Baxter算子。目前已知广义杨-巴克斯特算子的两个例子，最近发现了其中一个算子的三种变型。我们提出了增强的广义YB-算子的定义，并证明了所有已知的广义YB-算子的例子都可以被增强，以给出相应的有向链路的不变量。这些不变量中的大多数是多项式不变量$P$的特殊化。广义Yb算子的不变量在归一化后是乘法的。
英文摘要：
Enhanced Yang-Baxter operators give rise to invariants of oriented links. We expand the enhancing method to generalized Yang-Baxter operators. At present two examples of generalized Yang-Baxter operators are known and recently three types of variations for one of these were discovered. We present the definition of enhanced generalized YB-operators and show that all known examples of generalized YB-operators can be enhanced to give corresponding invariants of oriented links. Most of these invariants are specializations of the polynomial invariant $P$. Invariants from generalized YB-operators are multiplicative after a normalization.
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