The Geometry of the Weil-Petersson Metric in Complex Dynamics

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The Geometry of the Weil-Petersson Metric in Complex Dynamics

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Title: The Geometry of the Weil-Petersson Metric in Complex Dynamics
Author: Ivrii, Oleg
Citation: Ivrii, Oleg. 2014. The Geometry of the Weil-Petersson Metric in Complex Dynamics. Doctoral dissertation, Harvard University.
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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.
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303
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