Generalized orientations and the Bloch invariant

Details Generalized orientations and the Bloch invariant Generalized orientations and the Bloch invariant

2006-07-20

arxiv.org/abs/math/0607496v1

Mathematics

K-Theory and Homology

16 pages

Scientific paper

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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