带底缠结的泛sl_2不变量
On the universal sl_2 invariant of ribbon bottom tangles
摘要：
底部缠结是立方体中的缠结，该立方体由其边界点位于立方体底部正方形中的一条线上的弧分量组成。带状底部缠结是其闭合是带状链接的底部缠结。对任意n分量的带底缠结T，证明了与李代数sl_2的量子化包络代数U_h（sl_2）相关联的T的泛不变量J_T包含在U_h（sl_2）的n重完备张量幂幂的某个Z[q，q^{-1}]-子代数中.此结果适用于带状链接的有色琼斯多项式。
英文摘要：
A bottom tangle is a tangle in a cube consisting of arc components whose boundary points are on a line in the bottom square of the cube. A ribbon bottom tangle is a bottom tangle whose closure is a ribbon link. For every n-component ribbon bottom tangle T, we prove that the universal invariant J_T of T associated to the quantized enveloping algebra U_h(sl_2) of the Lie algebra sl_2 is contained in a certain Z[q,q^{-1}]-subalgebra of the n-fold completed tensor power of U_h(sl_2). This result is applied to the colored Jones polynomial of ribbon links.
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