Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group

Richard Evan Schwartz

Let $X=S{L}_3(\mathbb{R})/SO(3)$. Let $\mathcal{D}\mathcal{F}\mathcal{R}$ be the space of discrete faithful representations of the modular group into ${\rm Isom\/}(X)$ which map the order $2$ generator to an isometr…