Quandle homology and complex volume |
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| Authors: | Ayumu Inoue Yuichi Kabaya |
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| Affiliation: | 1. Department of Mathematics Education, Aichi University of Education, Kariya, Aichi, 448–8542, Japan
2. Department of Mathematics, Osaka University, Toyonaka, Osaka, 560–0043, Japan
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| Abstract: | 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. |
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