Generalized orientations and the Bloch invariant
K理论与同调
2007-05-23 v1 代数拓扑
摘要
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.
引用
@article{arxiv.math/0607496,
title = {Generalized orientations and the Bloch invariant},
author = {Michel Matthey and Wolfgang Pitsch and Jerome Scherer},
journal= {arXiv preprint arXiv:math/0607496},
year = {2007}
}
备注
16 pages