38 citations · 109 across the 20 of their papers we have counts for
12 papers · 1 filter
Slim curves, limit sets and spherical CR uniformisations
Elisha Falbel, Antonin Guilloux, Pierre Will
We consider here the -sphere seen as the boundary at infinity of the complex hyperbolic plane . It comes equipped with a contact structur…
Representations of Deligne-Mostow lattices into PGL(3, C) -- Part II
Elisha Falbel, Irene Pasquinelli, Alejandro Ucan-Puc
We complete the classification of type preserving representations of Deligne-Mostow lattices with 3-fold symmetry into PGL(3,C) started in arXiv:2003.06466. In particular, we show…
Complex hyperbolic orbifolds and Lefschetz fibrations
Elisha Falbel, Irene Pasquinelli
A class of complex hyperbolic lattices in PU(2,1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch and others in terms of line arrangements. They use branche…
Dimension of character varieties for -manifolds
Elisha Falbel, Antonin Guilloux
Let be a -manifold, compact with boundary and its fundamental group. Consider a complex reductive algebraic group G. The character variety is the GIT quotient $…
Character varieties for SL(3,C): the figure eight knot
Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff +2
We give a description of several representation varieties of the fundamental group of the complement of the figure eight knot in PGL(3,C) or SL(3,C). We moreover obtain an explicit…
Duality and invariants of representations of fundamental groups of 3-manifolds into PGL(3,C)
Elisha Falbel, Qingxue Wang
We determine the explicit transformation under duality of generic configurations of four flags in $\PGL(3,\bC)$ in cross-ratio coordinates. As an application we prove invariance un…