AI 中文总结
本文建立了特殊交错链环的经典Alexander多项式与MOY图多项式之间的对应关系，证明两者次数及首末系数一致，且MOY系数始终支配经典系数。
AI 中文摘要
Fox猜想著名地断言，交错链环的Alexander多项式系数的绝对值呈梯形分布。在MOY图的设定中，出现了另一种Alexander多项式的概念，而Fox猜想的等价结果已知成立。本文研究了特殊交错链环情形下这两种多项式之间的关系。更精确地，我们证明了它们的次数、首项系数和末项系数一致，并且MOY多项式的系数始终支配经典Alexander多项式。
英文摘要
Fox's conjecture famously asserts that the absolute values of the coefficients of the Alexander polynomial of alternating links are trapezoidal. In the setting of MOY graphs, where a different notion of Alexander polynomial appears, the equivalent result to Fox's conjecture is known to hold. In this paper, we relate the two polynomials in the case of special alternating links. More precisely, we show that their degrees, first, and last coefficient agree, and that the MOY polynomial coefficients always dominate the classical Alexander polynomial.
