Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Weil-Petersson Metric

Yan Mary He, Homin Lee, Insung Park

In this paper, we study complex analytic aspects of the moduli space $\Bcal_d^{fm}$ of degree $d\ge 2$ fixed-point-marked Blaschke products. We define a complex structure on $\Bcal_…