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arxiv: math/0607496 · v1 · submitted 2006-07-20 · 🧮 math.KT · math.AT

Generalized orientations and the Bloch invariant

Michel Matthey , Wolfgang Pitsch , Jerome Scherer This is my paper
classification 🧮 math.KT math.AT
keywords blochinvariantambiguityappearsapplyingbackborelcase
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For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K_3(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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