ABSTRACT: We introduce two new kinds of Teichmuller spaces and prove that they are complex manifolds. One of them, the asymptotic Teichmuller space AT, provides a natural setting for a period doubling dynamical system.
The paper is a part of IN THE TRADITION OF AHLFORS AND BERS , Contemporary Mathematics, Vol. 256, AMS.
This volume is based on the Proceedings of the first Ahlfors-Bers Colloquium, held in Stony Brook in November 1998.