Abstract
We describe a general geometrical construction of representations of fundamental groups of 3-manifolds into PU(2, 1) and eventually of spherical CR structures defined on those 3-manifolds. We construct branched spherical CR structures on the complement of the figure eight knot and the Whitehead link. They have discrete holonomies contained in PU(2, 1,Z[ω]) and PU(2, 1,Z[i]) respectively.
Citation
E. Falbel. "A spherical CR structure on the complement of the figure eight knot with discrete holonomy." J. Differential Geom. 79 (1) 69 - 110, May 2008. https://doi.org/10.4310/jdg/1207834658
Information