On Loewner energy and curve composition

Tim Mesikepp, Yaosong Yang

The composition ${\hat{I}}^3\circ \hat{I}\cdot$ of Jordan curves ${\hat{I}}^3$ and $\hat{I}\cdot$ in universal Teichmüller space is defined through the composition $h_{\hat{I}}^3\circ h_{\hat{I}}\cdot$ of their conformal weldings. We show…