MATRIX PRESENTATIONS OF THE TEICHMÜLLER SPACE OF A PAIR OF PANTS KIM HONG CHAN;
A pair of pants is a building block of oriented surfaces. The purpose of this paper is to formulate the matrix presentations of elements of the Teichmuller space of a pair of pants. In the level of the matrix group , we shall show that an odd number of traces of matrix presentations of the generators of the fundamental group of should be negative.
a pair of pants;hyperbolic structure;Teichmuller space;holonomy homomorphism;discrete group;