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Invariants From Triangulations Of Hyperbolic 3-Manifolds

By Walter D. Neumann and Jun Yang

Abstract

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

Topics: 1
Year: 1995
OAI identifier: oai:CiteSeerX.psu:10.1.1.306.6106
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