3 papers
math.GT2026
Projective reflection groups of finite covolume
Balthazar Fléchelles, Seunghoon Hwang
We show that the Coxeter polytopes that have finite volume in their Vinberg domains are exactly the quasiperfect Coxeter polytopes of negative type, i.e. the Coxeter polytopes that…
math.GT2026
Primitive stability and the Q-conditions for the rank two free group in hyperbolic d-space
Balthazar Fléchelles
The two largest known domains of discontinuity for the action of Out(F_2) on the PSL(2,C)-character variety of F_2 - defined by Minsky's primitive stability, and Bowditch's Q-condi…
math.GT2025
On cusp holonomies in strictly convex projective geometry
Balthazar Fléchelles
We give a complete characterization of the holonomies of strictly convex cusps and of round cusps in convex projective geometry. We build families of generalized cusps of non-maxim…