Publication: The Geometry of the Weil-Petersson Metric in Complex Dynamics
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2014-06-06
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Ivrii, Oleg. 2014. The Geometry of the Weil-Petersson Metric in Complex Dynamics. Doctoral dissertation, Harvard University.
Abstract
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.
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Mathematics
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