On the universal sl2 invariant of ribbon bottom tangles

On the universal sl2 invariant of ribbon bottom tangles
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关于丝带底部缠结的通用 sl2 不变量

DOI:
10.2140/agt.2010.10.1027
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发表时间:
2009
影响因子:
0.7
通讯作者:
Sakie Suzuki
Sakie Suzuki
中科院分区:
数学3区
文献类型:
--
作者:
Sakie Suzuki

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抽象。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分量的带状底缠结T,证明了T的量子化包络代数Uh(sl 2)的泛不变量包含在Uh(sl 2)的n重完备张量幂的某个子代数中.此结果适用于带状链接的有色琼斯多项式。
Abstract. 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 ncomponent ribbon bottom tangle T , we prove that the universal invariant of T associated to the quantized enveloping algebra Uh(sl2) is contained in a certain subalgebra of the n-fold completed tensor power of Uh(sl2). This result is applied to the colored Jones polynomial of ribbon links.
DOI: 10.1007/s00222-007-0071-0
发表时间: 2006-05
影响因子: 3.1
作者:
K. Habiro
通讯作者: K. Habiro
边界链接与普通链接自增量等价
DOI: --
发表时间: 2007
期刊: Mathematical Proceedings of the Cambridge Philosophical Society 143
影响因子: --
作者:
Tetsuo Shibuya and Akira Yasuhara;Thomas Fleming and Akira Yasuhara;Tetsuo Shibuya and Akira Yasuhara
通讯作者: Tetsuo Shibuya and Akira Yasuhara