19 citations · 31 across the 10 of their papers we have counts for
7 papers · 1 filter
Proper affine deformations of positive representations
Jean-Philippe Burelle, Neža Žager Korenjak
We define for every positive Anosov representation of a nonabelian free group into a family of -valued cocycles which induce proper affine…
Piecewise circular curves and positivity
Jean-Philippe Burelle, Ryan Kirk
We introduce the moduli space of generic piecewise circular -gons in the Riemann sphere and relate it to a moduli space of Legendrian polygons. We prove that when , this m…
Foliations between crooked planes in 3-dimensional Minkowski space
Jean-Philippe Burelle, Dominik Francoeur
We show that any two disjoint crooked planes in R^3 are leaves of a crooked foliation. This answers a question asked by Charette and Kim.
Schottky presentations of positive representations
Jean-Philippe Burelle, Nicolaus Treib
We show that the notion of -hyperconvexity on oriented flag manifolds defines a partial cyclic order. Using the notion of interval given by this partial cyclic order, we constru…
Einstein tori and crooked surfaces
Jean-Philippe Burelle, Virginie Charette, Dominik Francoeur +1
In hyperbolic space, the angle of intersection and distance classify pairs of totally geodesic hyperplanes. A similar algebraic invariant classifies pairs of hyperplanes in the Ein…
Schottky groups and maximal representations
Jean-Philippe Burelle, Nicolaus Treib
We describe a construction of Schottky type subgroups of automorphism groups of partially cyclically ordered sets. We apply this construction to the Shilov boundary of a Hermitian…
Crooked Halfspaces
Jean-Philippe Burelle, Virginie Charette, Todd Drumm +1
We develop the Lorentzian geometry of a crooked halfspace in 2+1-dimensional Minkowski space. We calculate the affine, conformal and isometric automorphism groups of a crooked half…