| We construct an embedding of T( Z ), the Teichmuller space of Z ---a Fuchsian group with a single parabolic generator---into the space of Nehari bounded abelian differentials on the Riemann surface M = Z\H . This "pre-Bers embeddig" is much simpler, and yet it still draws many parallels with the Bers embedding, such as the existence of a linear local right inverse. This gives rise to new complex coordinates which are compatible with the Bers coordinates. The differentials of the pre-Bers and the Bers embedding belong to a one parameter family of operators on the space of Beltrami differentials on M, which behave nicely with the Takhtajan-Zograf metric on T( Z ). |
