Quandle homology and complex volume

Details Quandle homology and complex volume Quandle homology and complex volume

2010-12-14

arxiv.org/abs/1012.2923v2

Mathematics

Geometric Topology

26 pages, 11 figures; minor modifications

Scientific paper

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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