论文标题

直接来自同源表示部分痕迹的ado不变性

ADO invariants directly from partial traces of homological representations

论文作者

Anghel, Cristina Ana-Maria

论文摘要

Ado不变性是来自Unity根部的量子组$ u_q(SL(2))$的一系列非毛刺量子不变的序列。 ITO表明,这些不变性是编织群体(截断的劳伦斯表示)的同源表示商的痕迹的总和。在本文中,我们将ADO不变性的直接同源公式显示为劳伦斯类型表示的部分痕迹,而没有进一步的截断。

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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