Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives

Donald Marshall, Steffen Rohde, Yilin Wang

We consider Jordan curves of the form ${\hat{I}}^3={\cup }_{j=1}^n{\hat{I}}_j^3$ on the Riemann sphere for which each ${\hat{I}}_j^3$ is a hyperbolic geodesic in $(\widehat{\mathbb C} \smallsetminus γ)\cup γ…