The geometry of the Weil-Petersson metric in complex dynamics
Contributors: McMullen, Curtis T.; Binder, Ilia; Bloemendal, Alexander
Published: 2014
Language: eng
Description: 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.
Notes: Thesis Ph.D. Harvard University 2014