A spherical CR structure on the complement of the figure eight knot with discrete holonomy
Elisha Falbel
Abstract
We describe a general geometrical construction of spherical CR structures. We construct then 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. These are the same ring of integers appearing in the real hyperbolic geometry of the corresponding links.
Create a lesson
Related papers
On the generalized cohomologies of almost abelian solvmanifolds
Mauro de Andrade Pinto, Letícia Camponês do Brasil Maia, Leonardo F. Cavenaghi et al.
Ball growth at all scales in universal covers of short metric graphs
Steve Karam
A semi-discrete scheme for horizontal mean curvature flow in the Heisenberg group
A. Cesaroni, M. Novaga, P. Pozzi
Algebraic and Symmetrized Affine star-Ricci Solitons for the Bott Connection on Three-Dimensional Lorentzian Lie Groups
Yuxin Ding
A parabolic flow approach to generalized Gauduchon metrics
Han Luo
Coupled reciprocal-sum inequalities for Neumann eigenvalues in rank-one symmetric spaces
Yifeng Meng