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Institut Fourier
Bibliothèque IF

Some pictures related to my research activities
Spherical CR uniformization of the figure eight knot complement
 This movie shows the evolution of the limit set of the
deformations of the RFuchsian (3,3,4) triangle group, until we get
to the group that gives a spherical CR uniformization of the figure
eight knot complement.
The limit sets live in R^{3} (which you should think of as the
Heisenberg group), and we only draw projections onto a plane, so
some pictures exhibit more selfintersection points than they really
should.
For more details on the math behind this, see
my paper with
E. Falbel.
 Here is a picture in cylindrical
projection of the boundary of a horotube for the group (see
this paper for more
details on the math behind this picture).
Fundamental domains for nonarithmetic lattices
 Click here for pictures of some
fundamental domains.
Dernière mise à jour: Mar 22, 2018
