A spherical CR structure on the complement of the figure eight knot with discrete holonomy

Falbel, E.

Falbel, E.

J. Differential Geom., Tome 78 (2008) no. 1, p. 69-110 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-05-15
Classification:

@article{1207834658,
     author = {Falbel, E.},
     title = {A spherical CR structure on the complement of the figure eight knot with discrete holonomy},
     journal = {J. Differential Geom.},
     volume = {78},
     number = {1},
     year = {2008},
     pages = { 69-110},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1207834658}
}

Falbel, E. A spherical CR structure on the complement of the figure eight knot with discrete holonomy. J. Differential Geom., Tome 78 (2008) no. 1, pp.  69-110. http://gdmltest.u-ga.fr/item/1207834658/