The Area of Convex Projective Surfaces and Fock-Goncharov Coordinates

Ilesanmi Adeboye, Daryl Cooper

The area of a convex projective surface of genus $g\ge 2$ is at least $(g-1){\pi }^2/2+\Vert \tau {\Vert }^2/8$ where $\tau =(\log t_i)$ is the vector of triangle invariants of Bonahon-Dreyer and $t_i$ a…