39 citations · 115 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
Local rigidity for PGL(3,C)-representations of 3-manifold groups
N. Bergeron, E. Falbel, A. Guilloux +2
Let M be a non-compact hyperbolic 3-manifold that has a triangulation by positively oriented ideal tetraedra. We explain how to produce local coordinates for the variety defined by…
Computing Chebyshev knot diagrams
Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier
A Chebyshev curve C(a,b,c,ϕ) has a parametrization of the form x(t)=Ta(t); y(t)=T_b(t) ; z(t)= Tc(t + ϕ), where a,b,c are integers, Tn(t) is the Chebyshev polynomial of degree n an…
The first rational Chebyshev knots
Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier
A Chebyshev knot is a knot which has a parametrization of the form where are integers, is the…