Generalized orientations and the Bloch invariant
Michel Matthey, Wolfgang Pitsch, Jerome Scherer
Abstract
For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K3(C) Applying the Borel and the Bloch regulators, one gets back the volume and the Chern-Simons invariant of the manifold. We also discuss the non-compact case, in which there appears a Z/2-ambiguity.
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