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Invariants From Triangulations Of Hyperbolic 3-Manifolds

By Walter D. Neumann and Jun Yang


For any finite volume hyperbolic 3-manifold M we use ideal triangulation to define an invariant β(M) in the Bloch group B(C). It actually lies in the subgroup of B(C) determined by the invariant trace field of M. The Chern-Simons invariant of M is determined modulo rationals by β(M). This implies rationality and — assuming the Ramakrishnan conjecture — irrationality results for Chern Simons invariants

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Year: 1995
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