Generalized orientations and the Bloch invariant

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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.
16 pages

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K-Theory and Homology, Algebraic Topology, 57M27 (Primary); 19E99, 55N20, 55P43, 57M50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/115050

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607496
 http://arxiv.org/abs/math/0607496

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arXiv