关于带状环、边界环和Brunnian环的有色Jones多项式
On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
摘要：
哈比罗给出了Z[q，q^{-1}]的主理想，其中代数分裂链的有色琼斯多项式的某些线性组合取值。证明了带状环、边界环和Brunnian环的相同线性组合都包含在Z[q，q^{-1}]的由多个元素生成的小理想中.在本文中，我们证明了这些理想也是主的，每一个生成的分圆多项式的产品。
英文摘要：
Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of Z[q,q^{-1}] generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.
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