MATRIX PRESENTATIONS OF THE TEICHMÜLLER SPACE OF A PAIR OF PANTS

Title & Authors
MATRIX PRESENTATIONS OF THE TEICHMÜLLER SPACE OF A PAIR OF PANTS
KIM HONG CHAN;

Abstract
A pair of pants $\small{\Sigma(0,3)}$ 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 $\small{SL(2,\mathbb{R})}$, we shall show that an odd number of traces of matrix presentations of the generators of the fundamental group of $\small{\Sigma(0,3)}$ should be negative.
Keywords
a pair of pants;hyperbolic structure;Teichmuller space;holonomy homomorphism;discrete group;
Language
English
Cited by
1.
DISCRETE CONDITIONS FOR THE HOLONOMY GROUP OF A PAIR OF PANTS,;

대한수학회지, 2007. vol.44. 3, pp.615-626
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