2 papers
math.GT2025
Minimising length of closed billiard trajectories on hyperbolic polygons
John Parker, Manvendra Somvanshi
In a hyperbolic polygon any finite collection of closed billiard trajectories can be assigned an average length function. In this paper, we consider the average length of the colle…
math.GT2025
Fenchel-Nielsen coordinates for SL(3,C) representations
Rodrigo Dávila Figueroa, John R Parker
We define Fenchel-Nielsen coordinates for representations of surface groups to . We also show how these coordinates relate to the classical Fenchel-Nielsen…