Yasushi Yamashita

Computer experiments of the discreteness locus in projective structures

Abstract: We present a computer-oriented method for producing pictures of Bers embeddings of the Teichmuller space of once punctured tori. Our algorithm consists of two steps. To each point in the coordinate plane, we first compute the corresponding monodromy representation by numerical integration along certain loops. Then we decide if the representation is discrete or not by applying the Jorgensen's theory on the quasifuchsian space of once punctured tori.