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Combinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds

Combinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds

In this paper we prove some results on combinatorics of triangulations of 3-dimensional pseudo-manifolds, improving on results of [NZ], and apply them to obtain a simplicial formula for the Chern-Simons invariant of an ideally triangulated hyperbolic 3-manifold. Combining this with [MN] gives a simplicial formula for the invariant also. In …