A LINK INVARIANT FROM QUANTUM DILOGARITHM

A LINK INVARIANT FROM QUANTUM DILOGARITHM
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DOI:
10.1142/s0217732395001526
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发表时间:
1995-04
影响因子:
1.4
通讯作者:
R. Kashaev
R. Kashaev
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
R. Kashaev

文献摘要

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通过特殊的R-矩阵构造,由循环量子双对数产生的链接不变量被证明与参考文献14中引入的S3中的三角链接不变量一致。得到的不变量,像亚历山大-康威多项式,消失的不相交工会的联系。R-矩阵可以看作是与Uq(sl(2))代数相关的泛R-矩阵的循环模拟。
The link invariant, arising from the cyclic quantum dilogarithm via the particular R- matrix construction is proved to coincide with the invariant of triangulated links in S3 introduced in Ref. 14. The obtained invariant, like Alexander-Conway polynomial, vanishes on disjoint union of links. The R-matrix can be considered as the cyclic analog of the universal R-matrix associated with Uq(sl(2)) algebra.