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다국어 초록 (Multilingual Abstract)

A punctured torus (1;1) is a building block of oriented surfaces. Thegoal of this paper is to formulate the matrix presentations of elements of the Te-ichmuller space of a punctured torus. LetC be a matrix presentation of the bound-ary component of (1;1). In the level of the matrix groupSL(2;R), we shall showthat the trace ofC is always negative.

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참고문헌 (Reference)

1 "The modular group action on realSL -characters of a one-holed torus" 7 : 433-486, 2003

2 "The geometry of discrete groups Graduate Texts in Mathematics" Springer-Verlag 1983

3 "Matrix presentations of the Teichmuller space of a pair of pants" 1-23, 2004

4 "Geometric structures on manifolds and varieties of representations Geometry of group representations" 19871988

5 "Deformation spaces associated to compact hyperbolic man-ifolds Discrete groups in geometry and analysis" 19841987

6 "Convex real projective structures on compact surfaces" 1990

7 "Canonical polygons for nitely generated Fuchsian groups" -1349, 1965

1 "The modular group action on realSL -characters of a one-holed torus" 7 : 433-486, 2003

2 "The geometry of discrete groups Graduate Texts in Mathematics" Springer-Verlag 1983

3 "Matrix presentations of the Teichmuller space of a pair of pants" 1-23, 2004

4 "Geometric structures on manifolds and varieties of representations Geometry of group representations" 19871988

5 "Deformation spaces associated to compact hyperbolic man-ifolds Discrete groups in geometry and analysis" 19841987

6 "Convex real projective structures on compact surfaces" 1990

7 "Canonical polygons for nitely generated Fuchsian groups" -1349, 1965

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