The volume and Chern-Simons invariant of a representation
Geometric Topology
2019-12-19 v2
Abstract
We give an efficient simplicial formula for the volume and Chern-Simons invariant of a boundary-parabolic PSL(2,C)-representation of a tame 3-manifold. If the representation is the geometric representation of a hyperbolic 3-manifold, our formula computes the volume and Chern-Simons invariant directly from an ideal triangulation with no use of additional combinatorial topology. In particular, the Chern-Simons invariant is computed just as easily as the volume.
Cite
@article{arxiv.0710.2049,
title = {The volume and Chern-Simons invariant of a representation},
author = {Christian K. Zickert},
journal= {arXiv preprint arXiv:0710.2049},
year = {2019}
}
Comments
32 pages, 10 figures