A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds, II
A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds, II
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平凡联系对琼斯多项式和 3d 流形 Witten 不变量的贡献，II
DOI：
10.1007/bf02102410
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发表时间：
1994
影响因子：
2.4
通讯作者：
L. Rozansky
中科院分区：
文献类型：
--
作者：
L. Rozansky
我们通过使用 N. Reshetikhin 最近导出的链接的琼斯多项式公式，将之前论文 [1] 的结果从结扩展到链接。我们建立了该公式的参数与多元亚历山大多项式之间的关系。通过环面链接的示例说明了这种关系。我们检查亚历山大多项式的表达式是否满足其一些基本属性。最后，我们推导了一个链接手术公式，用于对维滕有理同调域的微不足道的连接贡献进行循环修正。
We extend the results of our previous paper [1] from knots to links by using a formula for the Jones polynomial of a link derived recently by N. Reshetikhin. We establish a relation between the parameters of this formula and the multivariable Alexander polynomial. This relation is illustrated by an example of a torus link. We check that our expression for the Alexander polynomial satisfies some of its basic properties. Finally we derive a link surgery formula for the loop corrections to the trivial connection contribution to Witten's invariant of rational homology spheres.