Quandle homology and complex volume
Quandle homology and complex volume
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DOI：
10.1007/s10711-013-9898-2
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发表时间：
2010-12
影响因子：
0.5
通讯作者：
Ayumu Inoue;Y. Kabaya
中科院分区：
文献类型：
--
作者：
Ayumu Inoue;Y. Kabaya
本文引入了一个新的quandle同调理论，称为单纯quandle同调，它与Carter等人提出的quandle同调有很大的不同，我们构造了一个从quandle同调群到单纯quandle同调群的同态.作为应用，我们得到了仅从双曲杆的图计算其复体积的方法。
We introduce a new homology theory of quandles, called simplicial quandle homology, which is quite different from quandle homology developed by Carter et al. We construct a homomorphism from a quandle homology group to a simplicial quandle homology group. As an application, we obtain a method for computing the complex volume of a hyperbolic link only from its diagram.