Logarithmic knot invariants arising from restricted quantum groups
Logarithmic knot invariants arising from restricted quantum groups
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DOI：
10.1142/s0129167x08005060
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发表时间：
2007-05
影响因子：
0.6
通讯作者：
J. Murakami;K. Nagatomo
中科院分区：
文献类型：
--
作者：
J. Murakami;K. Nagatomo
由限制量子群{\mathcal{U}}_{q}(sl_{2})$的投射模的根部分在$q={\rm exp}(pi\sqrt{-1}/p)$处构造了纽结不变量，并证明了这些不变量与有色Alexander不变量之间的关系.这些射影模与对数共形场理论有关。
We construct knot invariants from the radical part of projective modules of the restricted quantum group $\overline{\mathcal{U}}_{q}(sl_{2})$ at $q = {\rm exp}(\pi \sqrt{-1}/p)$, and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.