The reduced Dijkgraaf--Witten invariant of double twist knots in the Bloch group of Fp
The reduced Dijkgraaf--Witten invariant of double twist knots in the Bloch group of Fp
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Fp的Bloch群中双扭结的简化Dijkgraaf--Witten不变量
DOI：
10.1142/s0218216521500553
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发表时间：
2021
影响因子：
0.5
通讯作者：
Karuo Hiroaki
中科院分区：
文献类型：
--
作者：
Kitamura Y;Uranishi K;Hirasaki M;Nishimoto M;Suzuki A;Okuda A.;Karuo Hiroaki
2004年，Neumann证明双曲3-流形的复双曲体积可以作为某个3-余循环的Dijkgraaf-Witten不变量的图像来获得。之后，Zickert 给出了诺伊曼关于包含有限域的自由域的工作的类比。作者制定了一种几何方法来计算 Zickert 类比的较弱版本，称为有限域的简化 Dijkgraaf-Witten 不变量，并在他之前的工作中给出了扭结补的公式。在本文中，我们具体展示了如何计算双扭结补数的简化Dijkgraaf-Witten不变量 和 ，并给出了它们的公式。
In 2004, Neumann showed that the complex hyperbolic volume of a hyperbolic 3-manifoldcan be obtained as the image of the Dijkgraaf–Witten invariant ofby a certain 3-cocycle. After that, Zickert gave an analogue of Neumann’s work for free fields containing finite fields. The author formulated a geometric method to calculate a weaker version of Zickert’s analogue, called the reduced Dijkgraaf–Witten invariant, for finite fields and gave a formula for twist knot complements andin his previous work. In this paper, we show concretely how to calculate the reduced Dijkgraaf–Witten invariants of double twist knot complements and, and give a formula of them for.