Person: Ivrii, Oleg
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Ivrii, Oleg
The Geometry of the Weil-Petersson Metric in Complex Dynamics
In this work, we study an analogue of the Weil-Petersson metric on the space of Blaschke products of degree 2 proposed by McMullen. We show that the Weil-Petersson metric is incomplete and study its metric completion. Our work parallels known results for the Teichmuller space of a punctured torus.