The volume and Chern-Simons invariant of a representation
Zickert, Christian K.
Duke Math. J., Tome 146 (2009) no. 1, p. 489-532 / Harvested from Project Euclid
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We give an efficient simplicial formula for the volume and Chern-Simons invariant of a boundary-parabolic ${\rm PSL}(2,{\mathds C})$ -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
Publié le : 2009-12-01
Classification:  58J28,  57M27 
@article{1259332507,
     author = {Zickert, Christian K.},
     title = {The volume and Chern-Simons invariant of a representation},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 489-532},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1259332507}
}

Zickert, Christian K. The volume and Chern-Simons invariant of a representation. Duke Math. J., Tome 146 (2009) no. 1, pp.  489-532. http://gdmltest.u-ga.fr/item/1259332507/