直接从同调表示的部分迹得到的ADO不变量
ADO invariants directly from partial traces of homological representations
摘要:
ADO不变量是来自单位根量子群$U_q(sl(2))$的表示论的一系列非半单量子不变量。伊藤证明了这些不变量是辫群的同调表示(截断劳伦斯表示)的迹的和。在本文中,我们显示了一个直接的同调公式的ADO不变量,作为劳伦斯型表示的部分迹的总和,没有进一步的截断。
英文摘要:
The ADO invariants are a sequence of non-semisimple quantum invariants coming from the representation theory of the quantum group $U_q(sl(2))$ at roots of unity. Ito showed that these invariants are sums of traces of quotients of homological representations of braid groups (truncated Lawrence representations). In this paper we show a direct homological formula for the ADO invariants, as sums of partial traces of Lawrence type representations, without further truncations.
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