Bloch invariants of hyperbolic 3-manifolds
| dc.creator | Neumann, Walter D. | |
| dc.creator | Yang, Jun | |
| dc.date | 1997-12-04 | |
| dc.date.accessioned | 2026-07-07T05:23:22Z | |
| dc.date.available | 2026-07-07T05:23:22Z | |
| dc.description | We define an invariant β(M) of a finite volume hyperbolic 3-manifold M in the Bloch group B(C) and show it is determined by the simplex parameters of any degree one ideal triangulation of M. β(M) lies in a subgroup of \B(\C) of finite \Q-rank determined by the invariant trace field of M. Moreover, the Chern-Simons invariant of M is determined modulo rationals by β(M). This leads to a simplicial formula and rationality results for the Chern Simons invariant which appear elsewhere. Generalizations of β(M) are also described, as well as several interesting examples. An appendix describes a scissors congruence interpretation of B(C). | |
| dc.description | 25 pages. A slightly revised version will appear in Duke Math. J. | |
| dc.identifier | https://arxiv.org/abs/math/9712224 | |
| dc.identifier | http://arxiv.org/abs/math/9712224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76407 | |
| dc.subject | Geometric Topology | |
| dc.title | Bloch invariants of hyperbolic 3-manifolds | |
| dc.type | text |