Toshiyuki SUGAWA

Cardioids and Teichmüller spaces


In this note, we give an expository account on the role played by cardioids in both Teichm\"uller spaces and in complex dynamics. Especially, we will observe that the shape of the Bers embedding of the Teichmüller space of a once-punctured rectangular torus converges to a cardioid in the sense of Carathéodory when the base surface is pinched along the meridian. A more general and complete result will be included in a forthcoming paper of the author.

submission: 9 October, 2006

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