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ISSN 1079-6762

Invariants from triangulations of hyperbolic 3-manifolds

Author(s): Walter D. Neumann; Jun Yang
Journal: Electron. Res. Announc. Amer. Math. Soc. 1 (1995), 72-79.
MSC (1991): Primary 57M50, 30F40, 19E99, 22E40, 57R20
Comment(s): Additional information about this paper
MathSciNet review: 1350682
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Abstract | References | Similar articles | Additional information

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

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