Categorifications of the colored Jones polynomial
Categorifications of the colored Jones polynomial
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有色琼斯多项式的分类
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
M. Khovanov
中科院分区：
文献类型：
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作者：
M. Khovanov
链接的有色琼斯多项式有两个自然的归一化：一个是n色解结的值为[n+1]，即量子sl（2）的（n+1）维不可约表示的量子维数，另一个是它的值为1。对于每一个规范化，我们构建了一个双阶上同调理论的链接与有色琼斯多项式的欧拉特征。
The colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n+1], the quantum dimension of the (n+1)-dimensional irreducible representation of quantum sl(2), and the other in which it evaluates to 1. For each normalization we construct a bigraded cohomology theory of links with the colored Jones polynomial as the Euler characteristic.