The Geometry of the Weil-Petersson Metric in Complex Dynamics
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CitationIvrii, Oleg. 2014. The Geometry of the Weil-Petersson Metric in Complex Dynamics. Doctoral dissertation, Harvard University.
AbstractIn 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303
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